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Finding the Fourth Proportional to 819.60, 1,131.12 and 709.34

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Solution

The fourth proportional to 819.60, 1,131.12 and 709.34 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.60 : 1,131.12 = 709.34 : x
  2. Step 2: Convert to fraction form
    819.60/1,131.12 = 709.34/x
  3. Step 3: Cross multiply
    819.60x = 1,131.12 × 709.34
  4. Step 4: Simplify right side
    819.60x = 802,348.66
  5. Step 5: Solve for x
    x = 802,348.66/819.60
  6. Step 6: Final answer
    x = 978.95

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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.