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Finding the Fourth Proportional to 831.72, 1,245.12 and 557.16

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Solution

The fourth proportional to 831.72, 1,245.12 and 557.16 is: 834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,245.12 = 557.16 : x
  2. Step 2: Convert to fraction form
    831.72/1,245.12 = 557.16/x
  3. Step 3: Cross multiply
    831.72x = 1,245.12 × 557.16
  4. Step 4: Simplify right side
    831.72x = 693,731.06
  5. Step 5: Solve for x
    x = 693,731.06/831.72
  6. Step 6: Final answer
    x = 834.09

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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.