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Finding the Fourth Proportional to 1,489.85, 2,233.02 and 515.42

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Solution

The fourth proportional to 1,489.85, 2,233.02 and 515.42 is: 772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.85 : 2,233.02 = 515.42 : x
  2. Step 2: Convert to fraction form
    1,489.85/2,233.02 = 515.42/x
  3. Step 3: Cross multiply
    1,489.85x = 2,233.02 × 515.42
  4. Step 4: Simplify right side
    1,489.85x = 1,150,943.17
  5. Step 5: Solve for x
    x = 1,150,943.17/1,489.85
  6. Step 6: Final answer
    x = 772.52

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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.