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Finding the Fourth Proportional to 1,278.64, 1,764.48 and 726.64

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Solution

The fourth proportional to 1,278.64, 1,764.48 and 726.64 is: 1,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.64 : 1,764.48 = 726.64 : x
  2. Step 2: Convert to fraction form
    1,278.64/1,764.48 = 726.64/x
  3. Step 3: Cross multiply
    1,278.64x = 1,764.48 × 726.64
  4. Step 4: Simplify right side
    1,278.64x = 1,282,141.75
  5. Step 5: Solve for x
    x = 1,282,141.75/1,278.64
  6. Step 6: Final answer
    x = 1,002.74

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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.