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Finding the Fourth Proportional to 657.66, 984.03 and 596.88

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Solution

The fourth proportional to 657.66, 984.03 and 596.88 is: 893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.66 : 984.03 = 596.88 : x
  2. Step 2: Convert to fraction form
    657.66/984.03 = 596.88/x
  3. Step 3: Cross multiply
    657.66x = 984.03 × 596.88
  4. Step 4: Simplify right side
    657.66x = 587,347.83
  5. Step 5: Solve for x
    x = 587,347.83/657.66
  6. Step 6: Final answer
    x = 893.09

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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.