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Finding the Fourth Proportional to 1,278.86, 1,764.42 and 781.38

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Solution

The fourth proportional to 1,278.86, 1,764.42 and 781.38 is: 1,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.86 : 1,764.42 = 781.38 : x
  2. Step 2: Convert to fraction form
    1,278.86/1,764.42 = 781.38/x
  3. Step 3: Cross multiply
    1,278.86x = 1,764.42 × 781.38
  4. Step 4: Simplify right side
    1,278.86x = 1,378,679.57
  5. Step 5: Solve for x
    x = 1,378,679.57/1,278.86
  6. Step 6: Final answer
    x = 1,078.06

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1.5x scale

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.