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Finding the Fourth Proportional to 1,278.52, 1,764.35 and 719.11

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Solution

The fourth proportional to 1,278.52, 1,764.35 and 719.11 is: 992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.52 : 1,764.35 = 719.11 : x
  2. Step 2: Convert to fraction form
    1,278.52/1,764.35 = 719.11/x
  3. Step 3: Cross multiply
    1,278.52x = 1,764.35 × 719.11
  4. Step 4: Simplify right side
    1,278.52x = 1,268,763.04
  5. Step 5: Solve for x
    x = 1,268,763.04/1,278.52
  6. Step 6: Final answer
    x = 992.37

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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.