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Finding the Fourth Proportional to 722.82, 1,081.47 and 635.46

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Solution

The fourth proportional to 722.82, 1,081.47 and 635.46 is: 950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.82 : 1,081.47 = 635.46 : x
  2. Step 2: Convert to fraction form
    722.82/1,081.47 = 635.46/x
  3. Step 3: Cross multiply
    722.82x = 1,081.47 × 635.46
  4. Step 4: Simplify right side
    722.82x = 687,230.93
  5. Step 5: Solve for x
    x = 687,230.93/722.82
  6. Step 6: Final answer
    x = 950.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.