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Finding the Fourth Proportional to 664.58, 996.10 and 587.69

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Solution

The fourth proportional to 664.58, 996.10 and 587.69 is: 880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 996.10 = 587.69 : x
  2. Step 2: Convert to fraction form
    664.58/996.10 = 587.69/x
  3. Step 3: Cross multiply
    664.58x = 996.10 × 587.69
  4. Step 4: Simplify right side
    664.58x = 585,395.07
  5. Step 5: Solve for x
    x = 585,395.07/664.58
  6. Step 6: Final answer
    x = 880.85

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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.