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Finding the Fourth Proportional to 1,024.18, 1,535.63 and 439.55

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Solution

The fourth proportional to 1,024.18, 1,535.63 and 439.55 is: 659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.18 : 1,535.63 = 439.55 : x
  2. Step 2: Convert to fraction form
    1,024.18/1,535.63 = 439.55/x
  3. Step 3: Cross multiply
    1,024.18x = 1,535.63 × 439.55
  4. Step 4: Simplify right side
    1,024.18x = 674,983.97
  5. Step 5: Solve for x
    x = 674,983.97/1,024.18
  6. Step 6: Final answer
    x = 659.05

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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.