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Finding the Fourth Proportional to 831.60, 1,245.20 and 506.32

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Solution

The fourth proportional to 831.60, 1,245.20 and 506.32 is: 758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,245.20 = 506.32 : x
  2. Step 2: Convert to fraction form
    831.60/1,245.20 = 506.32/x
  3. Step 3: Cross multiply
    831.60x = 1,245.20 × 506.32
  4. Step 4: Simplify right side
    831.60x = 630,469.66
  5. Step 5: Solve for x
    x = 630,469.66/831.60
  6. Step 6: Final answer
    x = 758.14

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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.