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Finding the Fourth Proportional to 798.78, 1,195.38 and 552.24

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Solution

The fourth proportional to 798.78, 1,195.38 and 552.24 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.78 : 1,195.38 = 552.24 : x
  2. Step 2: Convert to fraction form
    798.78/1,195.38 = 552.24/x
  3. Step 3: Cross multiply
    798.78x = 1,195.38 × 552.24
  4. Step 4: Simplify right side
    798.78x = 660,136.65
  5. Step 5: Solve for x
    x = 660,136.65/798.78
  6. Step 6: Final answer
    x = 826.43

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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.