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Finding the Fourth Proportional to 728.68, 1,087.42 and 650.83

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Solution

The fourth proportional to 728.68, 1,087.42 and 650.83 is: 971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.68 : 1,087.42 = 650.83 : x
  2. Step 2: Convert to fraction form
    728.68/1,087.42 = 650.83/x
  3. Step 3: Cross multiply
    728.68x = 1,087.42 × 650.83
  4. Step 4: Simplify right side
    728.68x = 707,716.87
  5. Step 5: Solve for x
    x = 707,716.87/728.68
  6. Step 6: Final answer
    x = 971.24

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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.