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Finding the Fourth Proportional to 831.73, 1,246.42 and 461.70

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Solution

The fourth proportional to 831.73, 1,246.42 and 461.70 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.73 : 1,246.42 = 461.70 : x
  2. Step 2: Convert to fraction form
    831.73/1,246.42 = 461.70/x
  3. Step 3: Cross multiply
    831.73x = 1,246.42 × 461.70
  4. Step 4: Simplify right side
    831.73x = 575,472.11
  5. Step 5: Solve for x
    x = 575,472.11/831.73
  6. Step 6: Final answer
    x = 691.90

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Why These Related Problems?

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