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Finding the Fourth Proportional to 664.65, 996.37 and 591.75

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Solution

The fourth proportional to 664.65, 996.37 and 591.75 is: 887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.65 : 996.37 = 591.75 : x
  2. Step 2: Convert to fraction form
    664.65/996.37 = 591.75/x
  3. Step 3: Cross multiply
    664.65x = 996.37 × 591.75
  4. Step 4: Simplify right side
    664.65x = 589,600.47
  5. Step 5: Solve for x
    x = 589,600.47/664.65
  6. Step 6: Final answer
    x = 887.08

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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.