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Finding the Fourth Proportional to 865.62, 1,296.36 and 475.02

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Solution

The fourth proportional to 865.62, 1,296.36 and 475.02 is: 711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.62 : 1,296.36 = 475.02 : x
  2. Step 2: Convert to fraction form
    865.62/1,296.36 = 475.02/x
  3. Step 3: Cross multiply
    865.62x = 1,296.36 × 475.02
  4. Step 4: Simplify right side
    865.62x = 615,796.93
  5. Step 5: Solve for x
    x = 615,796.93/865.62
  6. Step 6: Final answer
    x = 711.39

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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.