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Finding the Fourth Proportional to 831.24, 1,147.26 and 520.56

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Solution

The fourth proportional to 831.24, 1,147.26 and 520.56 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,147.26 = 520.56 : x
  2. Step 2: Convert to fraction form
    831.24/1,147.26 = 520.56/x
  3. Step 3: Cross multiply
    831.24x = 1,147.26 × 520.56
  4. Step 4: Simplify right side
    831.24x = 597,217.67
  5. Step 5: Solve for x
    x = 597,217.67/831.24
  6. Step 6: Final answer
    x = 718.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.