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Finding the Fourth Proportional to 819.78, 1,131.35 and 500.88

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Solution

The fourth proportional to 819.78, 1,131.35 and 500.88 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.78 : 1,131.35 = 500.88 : x
  2. Step 2: Convert to fraction form
    819.78/1,131.35 = 500.88/x
  3. Step 3: Cross multiply
    819.78x = 1,131.35 × 500.88
  4. Step 4: Simplify right side
    819.78x = 566,670.59
  5. Step 5: Solve for x
    x = 566,670.59/819.78
  6. Step 6: Final answer
    x = 691.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.