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Finding the Fourth Proportional to 1,278.64, 1,763.84 and 781.52

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Solution

The fourth proportional to 1,278.64, 1,763.84 and 781.52 is: 1,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.64 : 1,763.84 = 781.52 : x
  2. Step 2: Convert to fraction form
    1,278.64/1,763.84 = 781.52/x
  3. Step 3: Cross multiply
    1,278.64x = 1,763.84 × 781.52
  4. Step 4: Simplify right side
    1,278.64x = 1,378,476.24
  5. Step 5: Solve for x
    x = 1,378,476.24/1,278.64
  6. Step 6: Final answer
    x = 1,078.08

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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.