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Finding the Fourth Proportional to 664.54, 997.52 and 587.99

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Solution

The fourth proportional to 664.54, 997.52 and 587.99 is: 882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.54 : 997.52 = 587.99 : x
  2. Step 2: Convert to fraction form
    664.54/997.52 = 587.99/x
  3. Step 3: Cross multiply
    664.54x = 997.52 × 587.99
  4. Step 4: Simplify right side
    664.54x = 586,531.34
  5. Step 5: Solve for x
    x = 586,531.34/664.54
  6. Step 6: Final answer
    x = 882.62

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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.