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Finding the Fourth Proportional to 1,024.73, 1,537.31 and 294.31

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Solution

The fourth proportional to 1,024.73, 1,537.31 and 294.31 is: 441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.73 : 1,537.31 = 294.31 : x
  2. Step 2: Convert to fraction form
    1,024.73/1,537.31 = 294.31/x
  3. Step 3: Cross multiply
    1,024.73x = 1,537.31 × 294.31
  4. Step 4: Simplify right side
    1,024.73x = 452,442.60
  5. Step 5: Solve for x
    x = 452,442.60/1,024.73
  6. Step 6: Final answer
    x = 441.53

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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.