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Finding the Fourth Proportional to 882.60, 1,216.11 and 724.70

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Solution

The fourth proportional to 882.60, 1,216.11 and 724.70 is: 998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.60 : 1,216.11 = 724.70 : x
  2. Step 2: Convert to fraction form
    882.60/1,216.11 = 724.70/x
  3. Step 3: Cross multiply
    882.60x = 1,216.11 × 724.70
  4. Step 4: Simplify right side
    882.60x = 881,313.83
  5. Step 5: Solve for x
    x = 881,313.83/882.60
  6. Step 6: Final answer
    x = 998.55

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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.