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Finding the Fourth Proportional to 865.62, 1,298.43 and 378.61

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Solution

The fourth proportional to 865.62, 1,298.43 and 378.61 is: 567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.62 : 1,298.43 = 378.61 : x
  2. Step 2: Convert to fraction form
    865.62/1,298.43 = 378.61/x
  3. Step 3: Cross multiply
    865.62x = 1,298.43 × 378.61
  4. Step 4: Simplify right side
    865.62x = 491,595.34
  5. Step 5: Solve for x
    x = 491,595.34/865.62
  6. Step 6: Final answer
    x = 567.91

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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.