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Finding the Fourth Proportional to 1,489.20, 2,232.40 and 514.64

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Solution

The fourth proportional to 1,489.20, 2,232.40 and 514.64 is: 771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.20 : 2,232.40 = 514.64 : x
  2. Step 2: Convert to fraction form
    1,489.20/2,232.40 = 514.64/x
  3. Step 3: Cross multiply
    1,489.20x = 2,232.40 × 514.64
  4. Step 4: Simplify right side
    1,489.20x = 1,148,882.34
  5. Step 5: Solve for x
    x = 1,148,882.34/1,489.20
  6. Step 6: Final answer
    x = 771.48

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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.