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Finding the Fourth Proportional to 865.38, 1,295.64 and 659.10

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Solution

The fourth proportional to 865.38, 1,295.64 and 659.10 is: 986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,295.64 = 659.10 : x
  2. Step 2: Convert to fraction form
    865.38/1,295.64 = 659.10/x
  3. Step 3: Cross multiply
    865.38x = 1,295.64 × 659.10
  4. Step 4: Simplify right side
    865.38x = 853,956.32
  5. Step 5: Solve for x
    x = 853,956.32/865.38
  6. Step 6: Final answer
    x = 986.80

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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.