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Finding the Fourth Proportional to 1,278.25, 1,763.97 and 718.82

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Solution

The fourth proportional to 1,278.25, 1,763.97 and 718.82 is: 991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.25 : 1,763.97 = 718.82 : x
  2. Step 2: Convert to fraction form
    1,278.25/1,763.97 = 718.82/x
  3. Step 3: Cross multiply
    1,278.25x = 1,763.97 × 718.82
  4. Step 4: Simplify right side
    1,278.25x = 1,267,968.10
  5. Step 5: Solve for x
    x = 1,267,968.10/1,278.25
  6. Step 6: Final answer
    x = 991.96

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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.