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Finding the Fourth Proportional to 824.61, 1,233.27 and 616.86

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Solution

The fourth proportional to 824.61, 1,233.27 and 616.86 is: 922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.61 : 1,233.27 = 616.86 : x
  2. Step 2: Convert to fraction form
    824.61/1,233.27 = 616.86/x
  3. Step 3: Cross multiply
    824.61x = 1,233.27 × 616.86
  4. Step 4: Simplify right side
    824.61x = 760,754.93
  5. Step 5: Solve for x
    x = 760,754.93/824.61
  6. Step 6: Final answer
    x = 922.56

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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.