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Finding the Fourth Proportional to 1,275.12, 1,759.80 and 751.14

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Solution

The fourth proportional to 1,275.12, 1,759.80 and 751.14 is: 1,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.12 : 1,759.80 = 751.14 : x
  2. Step 2: Convert to fraction form
    1,275.12/1,759.80 = 751.14/x
  3. Step 3: Cross multiply
    1,275.12x = 1,759.80 × 751.14
  4. Step 4: Simplify right side
    1,275.12x = 1,321,856.17
  5. Step 5: Solve for x
    x = 1,321,856.17/1,275.12
  6. Step 6: Final answer
    x = 1,036.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.