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Finding the Fourth Proportional to 757.91, 1,045.59 and 463.02

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Solution

The fourth proportional to 757.91, 1,045.59 and 463.02 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.91 : 1,045.59 = 463.02 : x
  2. Step 2: Convert to fraction form
    757.91/1,045.59 = 463.02/x
  3. Step 3: Cross multiply
    757.91x = 1,045.59 × 463.02
  4. Step 4: Simplify right side
    757.91x = 484,126.03
  5. Step 5: Solve for x
    x = 484,126.03/757.91
  6. Step 6: Final answer
    x = 638.77

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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.