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Finding the Fourth Proportional to 1,375.16, 2,060.80 and 759.14

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Solution

The fourth proportional to 1,375.16, 2,060.80 and 759.14 is: 1,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.16 : 2,060.80 = 759.14 : x
  2. Step 2: Convert to fraction form
    1,375.16/2,060.80 = 759.14/x
  3. Step 3: Cross multiply
    1,375.16x = 2,060.80 × 759.14
  4. Step 4: Simplify right side
    1,375.16x = 1,564,435.71
  5. Step 5: Solve for x
    x = 1,564,435.71/1,375.16
  6. Step 6: Final answer
    x = 1,137.64

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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.