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Finding the Fourth Proportional to 865.88, 1,299 and 378.80

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Solution

The fourth proportional to 865.88, 1,299 and 378.80 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.88 : 1,299 = 378.80 : x
  2. Step 2: Convert to fraction form
    865.88/1,299 = 378.80/x
  3. Step 3: Cross multiply
    865.88x = 1,299 × 378.80
  4. Step 4: Simplify right side
    865.88x = 492,061.20
  5. Step 5: Solve for x
    x = 492,061.20/865.88
  6. Step 6: Final answer
    x = 568.28

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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.