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Finding the Fourth Proportional to 865.14, 1,296.15 and 474.72

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Solution

The fourth proportional to 865.14, 1,296.15 and 474.72 is: 711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.14 : 1,296.15 = 474.72 : x
  2. Step 2: Convert to fraction form
    865.14/1,296.15 = 474.72/x
  3. Step 3: Cross multiply
    865.14x = 1,296.15 × 474.72
  4. Step 4: Simplify right side
    865.14x = 615,308.33
  5. Step 5: Solve for x
    x = 615,308.33/865.14
  6. Step 6: Final answer
    x = 711.22

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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.