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Finding the Fourth Proportional to 819.98, 1,131.50 and 465.88

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Solution

The fourth proportional to 819.98, 1,131.50 and 465.88 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.98 : 1,131.50 = 465.88 : x
  2. Step 2: Convert to fraction form
    819.98/1,131.50 = 465.88/x
  3. Step 3: Cross multiply
    819.98x = 1,131.50 × 465.88
  4. Step 4: Simplify right side
    819.98x = 527,143.22
  5. Step 5: Solve for x
    x = 527,143.22/819.98
  6. Step 6: Final answer
    x = 642.87

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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.