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Finding the Fourth Proportional to 1,240.31, 1,711.71 and 867.42

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Solution

The fourth proportional to 1,240.31, 1,711.71 and 867.42 is: 1,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.31 : 1,711.71 = 867.42 : x
  2. Step 2: Convert to fraction form
    1,240.31/1,711.71 = 867.42/x
  3. Step 3: Cross multiply
    1,240.31x = 1,711.71 × 867.42
  4. Step 4: Simplify right side
    1,240.31x = 1,484,771.49
  5. Step 5: Solve for x
    x = 1,484,771.49/1,240.31
  6. Step 6: Final answer
    x = 1,197.09

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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.