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Finding the Fourth Proportional to 1,275.52, 1,761.90 and 984.44

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Solution

The fourth proportional to 1,275.52, 1,761.90 and 984.44 is: 1,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.52 : 1,761.90 = 984.44 : x
  2. Step 2: Convert to fraction form
    1,275.52/1,761.90 = 984.44/x
  3. Step 3: Cross multiply
    1,275.52x = 1,761.90 × 984.44
  4. Step 4: Simplify right side
    1,275.52x = 1,734,484.84
  5. Step 5: Solve for x
    x = 1,734,484.84/1,275.52
  6. Step 6: Final answer
    x = 1,359.83

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1.5x scale

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.