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Finding the Fourth Proportional to 924.97, 1,386.17 and 461.73

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Solution

The fourth proportional to 924.97, 1,386.17 and 461.73 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.97 : 1,386.17 = 461.73 : x
  2. Step 2: Convert to fraction form
    924.97/1,386.17 = 461.73/x
  3. Step 3: Cross multiply
    924.97x = 1,386.17 × 461.73
  4. Step 4: Simplify right side
    924.97x = 640,027.03
  5. Step 5: Solve for x
    x = 640,027.03/924.97
  6. Step 6: Final answer
    x = 691.94

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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.