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Finding the Fourth Proportional to 757.94, 1,046.00 and 463.13

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Solution

The fourth proportional to 757.94, 1,046.00 and 463.13 is: 639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.94 : 1,046.00 = 463.13 : x
  2. Step 2: Convert to fraction form
    757.94/1,046.00 = 463.13/x
  3. Step 3: Cross multiply
    757.94x = 1,046.00 × 463.13
  4. Step 4: Simplify right side
    757.94x = 484,429.91
  5. Step 5: Solve for x
    x = 484,429.91/757.94
  6. Step 6: Final answer
    x = 639.14

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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.