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Finding the Fourth Proportional to 1,211.71, 1,815.89 and 749.71

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Solution

The fourth proportional to 1,211.71, 1,815.89 and 749.71 is: 1,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.71 : 1,815.89 = 749.71 : x
  2. Step 2: Convert to fraction form
    1,211.71/1,815.89 = 749.71/x
  3. Step 3: Cross multiply
    1,211.71x = 1,815.89 × 749.71
  4. Step 4: Simplify right side
    1,211.71x = 1,361,385.52
  5. Step 5: Solve for x
    x = 1,361,385.52/1,211.71
  6. Step 6: Final answer
    x = 1,123.52

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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.