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Finding the Fourth Proportional to 1,197.38, 1,652.40 and 725.27

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Solution

The fourth proportional to 1,197.38, 1,652.40 and 725.27 is: 1,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.38 : 1,652.40 = 725.27 : x
  2. Step 2: Convert to fraction form
    1,197.38/1,652.40 = 725.27/x
  3. Step 3: Cross multiply
    1,197.38x = 1,652.40 × 725.27
  4. Step 4: Simplify right side
    1,197.38x = 1,198,436.15
  5. Step 5: Solve for x
    x = 1,198,436.15/1,197.38
  6. Step 6: Final answer
    x = 1,000.88

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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.