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Finding the Fourth Proportional to 1,211.17, 1,672.05 and 948.73

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Solution

The fourth proportional to 1,211.17, 1,672.05 and 948.73 is: 1,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.17 : 1,672.05 = 948.73 : x
  2. Step 2: Convert to fraction form
    1,211.17/1,672.05 = 948.73/x
  3. Step 3: Cross multiply
    1,211.17x = 1,672.05 × 948.73
  4. Step 4: Simplify right side
    1,211.17x = 1,586,324.00
  5. Step 5: Solve for x
    x = 1,586,324.00/1,211.17
  6. Step 6: Final answer
    x = 1,309.75

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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.