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Finding the Fourth Proportional to 1,355.89, 1,871.10 and 758.40

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Solution

The fourth proportional to 1,355.89, 1,871.10 and 758.40 is: 1,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.89 : 1,871.10 = 758.40 : x
  2. Step 2: Convert to fraction form
    1,355.89/1,871.10 = 758.40/x
  3. Step 3: Cross multiply
    1,355.89x = 1,871.10 × 758.40
  4. Step 4: Simplify right side
    1,355.89x = 1,419,042.24
  5. Step 5: Solve for x
    x = 1,419,042.24/1,355.89
  6. Step 6: Final answer
    x = 1,046.58

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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.