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Finding the Fourth Proportional to 1,024.26, 1,536.20 and 439.37

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Solution

The fourth proportional to 1,024.26, 1,536.20 and 439.37 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.26 : 1,536.20 = 439.37 : x
  2. Step 2: Convert to fraction form
    1,024.26/1,536.20 = 439.37/x
  3. Step 3: Cross multiply
    1,024.26x = 1,536.20 × 439.37
  4. Step 4: Simplify right side
    1,024.26x = 674,953.61
  5. Step 5: Solve for x
    x = 674,953.61/1,024.26
  6. Step 6: Final answer
    x = 658.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.