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Finding the Fourth Proportional to 1,355.85, 1,871.01 and 758.31

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Solution

The fourth proportional to 1,355.85, 1,871.01 and 758.31 is: 1,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.85 : 1,871.01 = 758.31 : x
  2. Step 2: Convert to fraction form
    1,355.85/1,871.01 = 758.31/x
  3. Step 3: Cross multiply
    1,355.85x = 1,871.01 × 758.31
  4. Step 4: Simplify right side
    1,355.85x = 1,418,805.59
  5. Step 5: Solve for x
    x = 1,418,805.59/1,355.85
  6. Step 6: Final answer
    x = 1,046.43

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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.