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Finding the Fourth Proportional to 798.53, 1,195.97 and 624.92

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Solution

The fourth proportional to 798.53, 1,195.97 and 624.92 is: 935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.53 : 1,195.97 = 624.92 : x
  2. Step 2: Convert to fraction form
    798.53/1,195.97 = 624.92/x
  3. Step 3: Cross multiply
    798.53x = 1,195.97 × 624.92
  4. Step 4: Simplify right side
    798.53x = 747,376.47
  5. Step 5: Solve for x
    x = 747,376.47/798.53
  6. Step 6: Final answer
    x = 935.95

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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.