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Finding the Fourth Proportional to 1,024.65, 1,414.34 and 604.97

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Solution

The fourth proportional to 1,024.65, 1,414.34 and 604.97 is: 835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,414.34 = 604.97 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,414.34 = 604.97/x
  3. Step 3: Cross multiply
    1,024.65x = 1,414.34 × 604.97
  4. Step 4: Simplify right side
    1,024.65x = 855,623.17
  5. Step 5: Solve for x
    x = 855,623.17/1,024.65
  6. Step 6: Final answer
    x = 835.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.