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Finding the Fourth Proportional to 723.88, 1,078.49 and 686.44

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Solution

The fourth proportional to 723.88, 1,078.49 and 686.44 is: 1,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 1,078.49 = 686.44 : x
  2. Step 2: Convert to fraction form
    723.88/1,078.49 = 686.44/x
  3. Step 3: Cross multiply
    723.88x = 1,078.49 × 686.44
  4. Step 4: Simplify right side
    723.88x = 740,318.68
  5. Step 5: Solve for x
    x = 740,318.68/723.88
  6. Step 6: Final answer
    x = 1,022.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.