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Finding the Fourth Proportional to 865.98, 1,299.42 and 379.38

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Solution

The fourth proportional to 865.98, 1,299.42 and 379.38 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,299.42 = 379.38 : x
  2. Step 2: Convert to fraction form
    865.98/1,299.42 = 379.38/x
  3. Step 3: Cross multiply
    865.98x = 1,299.42 × 379.38
  4. Step 4: Simplify right side
    865.98x = 492,973.96
  5. Step 5: Solve for x
    x = 492,973.96/865.98
  6. Step 6: Final answer
    x = 569.27

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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.