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Finding the Fourth Proportional to 1,278.52, 1,764.60 and 754.84

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Solution

The fourth proportional to 1,278.52, 1,764.60 and 754.84 is: 1,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.52 : 1,764.60 = 754.84 : x
  2. Step 2: Convert to fraction form
    1,278.52/1,764.60 = 754.84/x
  3. Step 3: Cross multiply
    1,278.52x = 1,764.60 × 754.84
  4. Step 4: Simplify right side
    1,278.52x = 1,331,990.66
  5. Step 5: Solve for x
    x = 1,331,990.66/1,278.52
  6. Step 6: Final answer
    x = 1,041.82

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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.