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Finding the Fourth Proportional to 865.16, 1,296.66 and 432.44

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Solution

The fourth proportional to 865.16, 1,296.66 and 432.44 is: 648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.16 : 1,296.66 = 432.44 : x
  2. Step 2: Convert to fraction form
    865.16/1,296.66 = 432.44/x
  3. Step 3: Cross multiply
    865.16x = 1,296.66 × 432.44
  4. Step 4: Simplify right side
    865.16x = 560,727.65
  5. Step 5: Solve for x
    x = 560,727.65/865.16
  6. Step 6: Final answer
    x = 648.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.