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Finding the Fourth Proportional to 798.87, 1,197.45 and 387.44

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Solution

The fourth proportional to 798.87, 1,197.45 and 387.44 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,197.45 = 387.44 : x
  2. Step 2: Convert to fraction form
    798.87/1,197.45 = 387.44/x
  3. Step 3: Cross multiply
    798.87x = 1,197.45 × 387.44
  4. Step 4: Simplify right side
    798.87x = 463,934.04
  5. Step 5: Solve for x
    x = 463,934.04/798.87
  6. Step 6: Final answer
    x = 580.74

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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.