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Finding the Fourth Proportional to 865.26, 1,194.04 and 487.15

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Solution

The fourth proportional to 865.26, 1,194.04 and 487.15 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,194.04 = 487.15 : x
  2. Step 2: Convert to fraction form
    865.26/1,194.04 = 487.15/x
  3. Step 3: Cross multiply
    865.26x = 1,194.04 × 487.15
  4. Step 4: Simplify right side
    865.26x = 581,673.30
  5. Step 5: Solve for x
    x = 581,673.30/865.26
  6. Step 6: Final answer
    x = 672.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.