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Finding the Fourth Proportional to 1,104.68, 1,523.66 and 700.77

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Solution

The fourth proportional to 1,104.68, 1,523.66 and 700.77 is: 966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.68 : 1,523.66 = 700.77 : x
  2. Step 2: Convert to fraction form
    1,104.68/1,523.66 = 700.77/x
  3. Step 3: Cross multiply
    1,104.68x = 1,523.66 × 700.77
  4. Step 4: Simplify right side
    1,104.68x = 1,067,736.97
  5. Step 5: Solve for x
    x = 1,067,736.97/1,104.68
  6. Step 6: Final answer
    x = 966.56

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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.