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Finding the Fourth Proportional to 1,138.42, 1,570.98 and 696.34

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Solution

The fourth proportional to 1,138.42, 1,570.98 and 696.34 is: 960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.42 : 1,570.98 = 696.34 : x
  2. Step 2: Convert to fraction form
    1,138.42/1,570.98 = 696.34/x
  3. Step 3: Cross multiply
    1,138.42x = 1,570.98 × 696.34
  4. Step 4: Simplify right side
    1,138.42x = 1,093,936.21
  5. Step 5: Solve for x
    x = 1,093,936.21/1,138.42
  6. Step 6: Final answer
    x = 960.92

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Half scale
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Double scale
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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.