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Finding the Fourth Proportional to 1,276.13, 1,759.55 and 1,206.88

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Solution

The fourth proportional to 1,276.13, 1,759.55 and 1,206.88 is: 1,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.13 : 1,759.55 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    1,276.13/1,759.55 = 1,206.88/x
  3. Step 3: Cross multiply
    1,276.13x = 1,759.55 × 1,206.88
  4. Step 4: Simplify right side
    1,276.13x = 2,123,565.70
  5. Step 5: Solve for x
    x = 2,123,565.70/1,276.13
  6. Step 6: Final answer
    x = 1,664.07

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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.