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Finding the Fourth Proportional to 1,211.18, 1,817.22 and 724.57

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Solution

The fourth proportional to 1,211.18, 1,817.22 and 724.57 is: 1,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.18 : 1,817.22 = 724.57 : x
  2. Step 2: Convert to fraction form
    1,211.18/1,817.22 = 724.57/x
  3. Step 3: Cross multiply
    1,211.18x = 1,817.22 × 724.57
  4. Step 4: Simplify right side
    1,211.18x = 1,316,700.82
  5. Step 5: Solve for x
    x = 1,316,700.82/1,211.18
  6. Step 6: Final answer
    x = 1,087.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.