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Finding the Fourth Proportional to 624.92, 869.28 and 613.04

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Solution

The fourth proportional to 624.92, 869.28 and 613.04 is: 852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.92 : 869.28 = 613.04 : x
  2. Step 2: Convert to fraction form
    624.92/869.28 = 613.04/x
  3. Step 3: Cross multiply
    624.92x = 869.28 × 613.04
  4. Step 4: Simplify right side
    624.92x = 532,896.77
  5. Step 5: Solve for x
    x = 532,896.77/624.92
  6. Step 6: Final answer
    x = 852.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.