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Finding the Fourth Proportional to 737.13, 1,017.46 and 538.08

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Solution

The fourth proportional to 737.13, 1,017.46 and 538.08 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.13 : 1,017.46 = 538.08 : x
  2. Step 2: Convert to fraction form
    737.13/1,017.46 = 538.08/x
  3. Step 3: Cross multiply
    737.13x = 1,017.46 × 538.08
  4. Step 4: Simplify right side
    737.13x = 547,471.73
  5. Step 5: Solve for x
    x = 547,471.73/737.13
  6. Step 6: Final answer
    x = 742.70

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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.