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Finding the Fourth Proportional to 1,224.25, 1,689.47 and 700.30

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Solution

The fourth proportional to 1,224.25, 1,689.47 and 700.30 is: 966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.25 : 1,689.47 = 700.30 : x
  2. Step 2: Convert to fraction form
    1,224.25/1,689.47 = 700.30/x
  3. Step 3: Cross multiply
    1,224.25x = 1,689.47 × 700.30
  4. Step 4: Simplify right side
    1,224.25x = 1,183,135.84
  5. Step 5: Solve for x
    x = 1,183,135.84/1,224.25
  6. Step 6: Final answer
    x = 966.42

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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.