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Finding the Fourth Proportional to 657.68, 984.77 and 579.83

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Solution

The fourth proportional to 657.68, 984.77 and 579.83 is: 868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 984.77 = 579.83 : x
  2. Step 2: Convert to fraction form
    657.68/984.77 = 579.83/x
  3. Step 3: Cross multiply
    657.68x = 984.77 × 579.83
  4. Step 4: Simplify right side
    657.68x = 570,996.29
  5. Step 5: Solve for x
    x = 570,996.29/657.68
  6. Step 6: Final answer
    x = 868.20

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