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Finding the Fourth Proportional to 1,305.28, 1,958.10 and 575.20

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Solution

The fourth proportional to 1,305.28, 1,958.10 and 575.20 is: 862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.28 : 1,958.10 = 575.20 : x
  2. Step 2: Convert to fraction form
    1,305.28/1,958.10 = 575.20/x
  3. Step 3: Cross multiply
    1,305.28x = 1,958.10 × 575.20
  4. Step 4: Simplify right side
    1,305.28x = 1,126,299.12
  5. Step 5: Solve for x
    x = 1,126,299.12/1,305.28
  6. Step 6: Final answer
    x = 862.88

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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.