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Finding the Fourth Proportional to 819.95, 1,131.84 and 505.27

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Solution

The fourth proportional to 819.95, 1,131.84 and 505.27 is: 697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.95 : 1,131.84 = 505.27 : x
  2. Step 2: Convert to fraction form
    819.95/1,131.84 = 505.27/x
  3. Step 3: Cross multiply
    819.95x = 1,131.84 × 505.27
  4. Step 4: Simplify right side
    819.95x = 571,876.61
  5. Step 5: Solve for x
    x = 571,876.61/819.95
  6. Step 6: Final answer
    x = 697.45

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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.