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Finding the Fourth Proportional to 1,278.57, 1,764.29 and 781.33

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Solution

The fourth proportional to 1,278.57, 1,764.29 and 781.33 is: 1,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.57 : 1,764.29 = 781.33 : x
  2. Step 2: Convert to fraction form
    1,278.57/1,764.29 = 781.33/x
  3. Step 3: Cross multiply
    1,278.57x = 1,764.29 × 781.33
  4. Step 4: Simplify right side
    1,278.57x = 1,378,492.71
  5. Step 5: Solve for x
    x = 1,378,492.71/1,278.57
  6. Step 6: Final answer
    x = 1,078.15

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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.