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Finding the Fourth Proportional to 737.71, 1,017.78 and 458.17

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Solution

The fourth proportional to 737.71, 1,017.78 and 458.17 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.71 : 1,017.78 = 458.17 : x
  2. Step 2: Convert to fraction form
    737.71/1,017.78 = 458.17/x
  3. Step 3: Cross multiply
    737.71x = 1,017.78 × 458.17
  4. Step 4: Simplify right side
    737.71x = 466,316.26
  5. Step 5: Solve for x
    x = 466,316.26/737.71
  6. Step 6: Final answer
    x = 632.11

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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.