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Finding the Fourth Proportional to 1,024.52, 1,534.75 and 475.94

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Solution

The fourth proportional to 1,024.52, 1,534.75 and 475.94 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.52 : 1,534.75 = 475.94 : x
  2. Step 2: Convert to fraction form
    1,024.52/1,534.75 = 475.94/x
  3. Step 3: Cross multiply
    1,024.52x = 1,534.75 × 475.94
  4. Step 4: Simplify right side
    1,024.52x = 730,451.56
  5. Step 5: Solve for x
    x = 730,451.56/1,024.52
  6. Step 6: Final answer
    x = 712.97

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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.