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Finding the Fourth Proportional to 869.62, 1,200.29 and 590.32

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Solution

The fourth proportional to 869.62, 1,200.29 and 590.32 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.62 : 1,200.29 = 590.32 : x
  2. Step 2: Convert to fraction form
    869.62/1,200.29 = 590.32/x
  3. Step 3: Cross multiply
    869.62x = 1,200.29 × 590.32
  4. Step 4: Simplify right side
    869.62x = 708,549.24
  5. Step 5: Solve for x
    x = 708,549.24/869.62
  6. Step 6: Final answer
    x = 814.78

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Why These Related Problems?

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