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Finding the Fourth Proportional to 865.66, 1,299.14 and 635.13

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Solution

The fourth proportional to 865.66, 1,299.14 and 635.13 is: 953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.66 : 1,299.14 = 635.13 : x
  2. Step 2: Convert to fraction form
    865.66/1,299.14 = 635.13/x
  3. Step 3: Cross multiply
    865.66x = 1,299.14 × 635.13
  4. Step 4: Simplify right side
    865.66x = 825,122.79
  5. Step 5: Solve for x
    x = 825,122.79/865.66
  6. Step 6: Final answer
    x = 953.17

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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.