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Finding the Fourth Proportional to 1,306.26, 1,958.28 and 575.28

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Solution

The fourth proportional to 1,306.26, 1,958.28 and 575.28 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.26 : 1,958.28 = 575.28 : x
  2. Step 2: Convert to fraction form
    1,306.26/1,958.28 = 575.28/x
  3. Step 3: Cross multiply
    1,306.26x = 1,958.28 × 575.28
  4. Step 4: Simplify right side
    1,306.26x = 1,126,559.32
  5. Step 5: Solve for x
    x = 1,126,559.32/1,306.26
  6. Step 6: Final answer
    x = 862.43

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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.