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Finding the Fourth Proportional to 831.38, 1,244.76 and 419.65

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Solution

The fourth proportional to 831.38, 1,244.76 and 419.65 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.38 : 1,244.76 = 419.65 : x
  2. Step 2: Convert to fraction form
    831.38/1,244.76 = 419.65/x
  3. Step 3: Cross multiply
    831.38x = 1,244.76 × 419.65
  4. Step 4: Simplify right side
    831.38x = 522,363.53
  5. Step 5: Solve for x
    x = 522,363.53/831.38
  6. Step 6: Final answer
    x = 628.31

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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.