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Finding the Fourth Proportional to 1,488.26, 2,231.67 and 666.75

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Solution

The fourth proportional to 1,488.26, 2,231.67 and 666.75 is: 999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.26 : 2,231.67 = 666.75 : x
  2. Step 2: Convert to fraction form
    1,488.26/2,231.67 = 666.75/x
  3. Step 3: Cross multiply
    1,488.26x = 2,231.67 × 666.75
  4. Step 4: Simplify right side
    1,488.26x = 1,487,965.97
  5. Step 5: Solve for x
    x = 1,487,965.97/1,488.26
  6. Step 6: Final answer
    x = 999.81

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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.