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Finding the Fourth Proportional to 819.98, 1,131.67 and 466.01

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Solution

The fourth proportional to 819.98, 1,131.67 and 466.01 is: 643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.98 : 1,131.67 = 466.01 : x
  2. Step 2: Convert to fraction form
    819.98/1,131.67 = 466.01/x
  3. Step 3: Cross multiply
    819.98x = 1,131.67 × 466.01
  4. Step 4: Simplify right side
    819.98x = 527,375.61
  5. Step 5: Solve for x
    x = 527,375.61/819.98
  6. Step 6: Final answer
    x = 643.15

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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.