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Finding the Fourth Proportional to 1,211.29, 1,671.72 and 687.42

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Solution

The fourth proportional to 1,211.29, 1,671.72 and 687.42 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.29 : 1,671.72 = 687.42 : x
  2. Step 2: Convert to fraction form
    1,211.29/1,671.72 = 687.42/x
  3. Step 3: Cross multiply
    1,211.29x = 1,671.72 × 687.42
  4. Step 4: Simplify right side
    1,211.29x = 1,149,165.40
  5. Step 5: Solve for x
    x = 1,149,165.40/1,211.29
  6. Step 6: Final answer
    x = 948.71

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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.