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Finding the Fourth Proportional to 831.83, 1,247.54 and 502.56

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Solution

The fourth proportional to 831.83, 1,247.54 and 502.56 is: 753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.83 : 1,247.54 = 502.56 : x
  2. Step 2: Convert to fraction form
    831.83/1,247.54 = 502.56/x
  3. Step 3: Cross multiply
    831.83x = 1,247.54 × 502.56
  4. Step 4: Simplify right side
    831.83x = 626,961.19
  5. Step 5: Solve for x
    x = 626,961.19/831.83
  6. Step 6: Final answer
    x = 753.72

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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.