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Finding the Fourth Proportional to 1,065.87, 1,601.14 and 759.69

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Solution

The fourth proportional to 1,065.87, 1,601.14 and 759.69 is: 1,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.87 : 1,601.14 = 759.69 : x
  2. Step 2: Convert to fraction form
    1,065.87/1,601.14 = 759.69/x
  3. Step 3: Cross multiply
    1,065.87x = 1,601.14 × 759.69
  4. Step 4: Simplify right side
    1,065.87x = 1,216,366.25
  5. Step 5: Solve for x
    x = 1,216,366.25/1,065.87
  6. Step 6: Final answer
    x = 1,141.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.