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Finding the Fourth Proportional to 757.74, 1,045.74 and 463.14

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Solution

The fourth proportional to 757.74, 1,045.74 and 463.14 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.74 : 1,045.74 = 463.14 : x
  2. Step 2: Convert to fraction form
    757.74/1,045.74 = 463.14/x
  3. Step 3: Cross multiply
    757.74x = 1,045.74 × 463.14
  4. Step 4: Simplify right side
    757.74x = 484,324.02
  5. Step 5: Solve for x
    x = 484,324.02/757.74
  6. Step 6: Final answer
    x = 639.17

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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.