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Finding the Fourth Proportional to 717.83, 1,074.92 and 657.69

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Solution

The fourth proportional to 717.83, 1,074.92 and 657.69 is: 984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.83 : 1,074.92 = 657.69 : x
  2. Step 2: Convert to fraction form
    717.83/1,074.92 = 657.69/x
  3. Step 3: Cross multiply
    717.83x = 1,074.92 × 657.69
  4. Step 4: Simplify right side
    717.83x = 706,964.13
  5. Step 5: Solve for x
    x = 706,964.13/717.83
  6. Step 6: Final answer
    x = 984.86

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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.