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Finding the Fourth Proportional to 831.62, 1,245.87 and 419.76

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Solution

The fourth proportional to 831.62, 1,245.87 and 419.76 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.62 : 1,245.87 = 419.76 : x
  2. Step 2: Convert to fraction form
    831.62/1,245.87 = 419.76/x
  3. Step 3: Cross multiply
    831.62x = 1,245.87 × 419.76
  4. Step 4: Simplify right side
    831.62x = 522,960.16
  5. Step 5: Solve for x
    x = 522,960.16/831.62
  6. Step 6: Final answer
    x = 628.85

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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.