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Finding the Fourth Proportional to 664.61, 993.57 and 595.05

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Solution

The fourth proportional to 664.61, 993.57 and 595.05 is: 889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 993.57 = 595.05 : x
  2. Step 2: Convert to fraction form
    664.61/993.57 = 595.05/x
  3. Step 3: Cross multiply
    664.61x = 993.57 × 595.05
  4. Step 4: Simplify right side
    664.61x = 591,217.87
  5. Step 5: Solve for x
    x = 591,217.87/664.61
  6. Step 6: Final answer
    x = 889.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.