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Finding the Fourth Proportional to 757.24, 1,045.07 and 462.70

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Solution

The fourth proportional to 757.24, 1,045.07 and 462.70 is: 638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.24 : 1,045.07 = 462.70 : x
  2. Step 2: Convert to fraction form
    757.24/1,045.07 = 462.70/x
  3. Step 3: Cross multiply
    757.24x = 1,045.07 × 462.70
  4. Step 4: Simplify right side
    757.24x = 483,553.89
  5. Step 5: Solve for x
    x = 483,553.89/757.24
  6. Step 6: Final answer
    x = 638.57

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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.