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Finding the Fourth Proportional to 1,278.56, 1,764.27 and 719.00

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Solution

The fourth proportional to 1,278.56, 1,764.27 and 719.00 is: 992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.56 : 1,764.27 = 719.00 : x
  2. Step 2: Convert to fraction form
    1,278.56/1,764.27 = 719.00/x
  3. Step 3: Cross multiply
    1,278.56x = 1,764.27 × 719.00
  4. Step 4: Simplify right side
    1,278.56x = 1,268,511.84
  5. Step 5: Solve for x
    x = 1,268,511.84/1,278.56
  6. Step 6: Final answer
    x = 992.14

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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.