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Finding the Fourth Proportional to 1,024.31, 1,536.50 and 254.81

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Solution

The fourth proportional to 1,024.31, 1,536.50 and 254.81 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.31 : 1,536.50 = 254.81 : x
  2. Step 2: Convert to fraction form
    1,024.31/1,536.50 = 254.81/x
  3. Step 3: Cross multiply
    1,024.31x = 1,536.50 × 254.81
  4. Step 4: Simplify right side
    1,024.31x = 391,520.04
  5. Step 5: Solve for x
    x = 391,520.04/1,024.31
  6. Step 6: Final answer
    x = 382.23

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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.