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Finding the Fourth Proportional to 1,024.02, 1,535.31 and 475.44

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Solution

The fourth proportional to 1,024.02, 1,535.31 and 475.44 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,535.31 = 475.44 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,535.31 = 475.44/x
  3. Step 3: Cross multiply
    1,024.02x = 1,535.31 × 475.44
  4. Step 4: Simplify right side
    1,024.02x = 729,947.79
  5. Step 5: Solve for x
    x = 729,947.79/1,024.02
  6. Step 6: Final answer
    x = 712.83

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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.