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Finding the Fourth Proportional to 657.20, 984.13 and 587.54

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Solution

The fourth proportional to 657.20, 984.13 and 587.54 is: 879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 984.13 = 587.54 : x
  2. Step 2: Convert to fraction form
    657.20/984.13 = 587.54/x
  3. Step 3: Cross multiply
    657.20x = 984.13 × 587.54
  4. Step 4: Simplify right side
    657.20x = 578,209.35
  5. Step 5: Solve for x
    x = 578,209.35/657.20
  6. Step 6: Final answer
    x = 879.81

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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.