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Finding the Fourth Proportional to 865.14, 1,296.99 and 590.85

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Solution

The fourth proportional to 865.14, 1,296.99 and 590.85 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.14 : 1,296.99 = 590.85 : x
  2. Step 2: Convert to fraction form
    865.14/1,296.99 = 590.85/x
  3. Step 3: Cross multiply
    865.14x = 1,296.99 × 590.85
  4. Step 4: Simplify right side
    865.14x = 766,326.54
  5. Step 5: Solve for x
    x = 766,326.54/865.14
  6. Step 6: Final answer
    x = 885.78

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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.