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Finding the Fourth Proportional to 1,489.19, 2,232.38 and 667.00

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Solution

The fourth proportional to 1,489.19, 2,232.38 and 667.00 is: 999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.19 : 2,232.38 = 667.00 : x
  2. Step 2: Convert to fraction form
    1,489.19/2,232.38 = 667.00/x
  3. Step 3: Cross multiply
    1,489.19x = 2,232.38 × 667.00
  4. Step 4: Simplify right side
    1,489.19x = 1,488,998.17
  5. Step 5: Solve for x
    x = 1,488,998.17/1,489.19
  6. Step 6: Final answer
    x = 999.87

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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.