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Finding the Fourth Proportional to 831.76, 1,246.56 and 397.96

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Solution

The fourth proportional to 831.76, 1,246.56 and 397.96 is: 596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.76 : 1,246.56 = 397.96 : x
  2. Step 2: Convert to fraction form
    831.76/1,246.56 = 397.96/x
  3. Step 3: Cross multiply
    831.76x = 1,246.56 × 397.96
  4. Step 4: Simplify right side
    831.76x = 496,081.02
  5. Step 5: Solve for x
    x = 496,081.02/831.76
  6. Step 6: Final answer
    x = 596.42

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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.