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Finding the Fourth Proportional to 757.65, 1,045.48 and 462.86

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Solution

The fourth proportional to 757.65, 1,045.48 and 462.86 is: 638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.65 : 1,045.48 = 462.86 : x
  2. Step 2: Convert to fraction form
    757.65/1,045.48 = 462.86/x
  3. Step 3: Cross multiply
    757.65x = 1,045.48 × 462.86
  4. Step 4: Simplify right side
    757.65x = 483,910.87
  5. Step 5: Solve for x
    x = 483,910.87/757.65
  6. Step 6: Final answer
    x = 638.70

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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.