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Finding the Fourth Proportional to 868.60, 1,199.10 and 590.32

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Solution

The fourth proportional to 868.60, 1,199.10 and 590.32 is: 814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.60 : 1,199.10 = 590.32 : x
  2. Step 2: Convert to fraction form
    868.60/1,199.10 = 590.32/x
  3. Step 3: Cross multiply
    868.60x = 1,199.10 × 590.32
  4. Step 4: Simplify right side
    868.60x = 707,852.71
  5. Step 5: Solve for x
    x = 707,852.71/868.60
  6. Step 6: Final answer
    x = 814.94

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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.