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Finding the Fourth Proportional to 1,224.26, 1,689.35 and 700.32

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Solution

The fourth proportional to 1,224.26, 1,689.35 and 700.32 is: 966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.26 : 1,689.35 = 700.32 : x
  2. Step 2: Convert to fraction form
    1,224.26/1,689.35 = 700.32/x
  3. Step 3: Cross multiply
    1,224.26x = 1,689.35 × 700.32
  4. Step 4: Simplify right side
    1,224.26x = 1,183,082.09
  5. Step 5: Solve for x
    x = 1,183,082.09/1,224.26
  6. Step 6: Final answer
    x = 966.37

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,225.26, 1,690.72 and 701.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.