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Finding the Fourth Proportional to 1,359.45, 1,876.05 and 769.87

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Solution

The fourth proportional to 1,359.45, 1,876.05 and 769.87 is: 1,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.45 : 1,876.05 = 769.87 : x
  2. Step 2: Convert to fraction form
    1,359.45/1,876.05 = 769.87/x
  3. Step 3: Cross multiply
    1,359.45x = 1,876.05 × 769.87
  4. Step 4: Simplify right side
    1,359.45x = 1,444,314.61
  5. Step 5: Solve for x
    x = 1,444,314.61/1,359.45
  6. Step 6: Final answer
    x = 1,062.43

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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.