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Finding the Fourth Proportional to 1,024.65, 1,537.25 and 331.29

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Solution

The fourth proportional to 1,024.65, 1,537.25 and 331.29 is: 497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,537.25 = 331.29 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,537.25 = 331.29/x
  3. Step 3: Cross multiply
    1,024.65x = 1,537.25 × 331.29
  4. Step 4: Simplify right side
    1,024.65x = 509,273.90
  5. Step 5: Solve for x
    x = 509,273.90/1,024.65
  6. Step 6: Final answer
    x = 497.02

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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.