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Finding the Fourth Proportional to 820.62, 1,231.88 and 590.85

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Solution

The fourth proportional to 820.62, 1,231.88 and 590.85 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.62 : 1,231.88 = 590.85 : x
  2. Step 2: Convert to fraction form
    820.62/1,231.88 = 590.85/x
  3. Step 3: Cross multiply
    820.62x = 1,231.88 × 590.85
  4. Step 4: Simplify right side
    820.62x = 727,853.34
  5. Step 5: Solve for x
    x = 727,853.34/820.62
  6. Step 6: Final answer
    x = 886.96

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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.