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Finding the Fourth Proportional to 925.04, 1,385.71 and 461.39

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Solution

The fourth proportional to 925.04, 1,385.71 and 461.39 is: 691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.04 : 1,385.71 = 461.39 : x
  2. Step 2: Convert to fraction form
    925.04/1,385.71 = 461.39/x
  3. Step 3: Cross multiply
    925.04x = 1,385.71 × 461.39
  4. Step 4: Simplify right side
    925.04x = 639,352.74
  5. Step 5: Solve for x
    x = 639,352.74/925.04
  6. Step 6: Final answer
    x = 691.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.