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Finding the Fourth Proportional to 1,024.78, 1,414.38 and 605.08

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Solution

The fourth proportional to 1,024.78, 1,414.38 and 605.08 is: 835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.78 : 1,414.38 = 605.08 : x
  2. Step 2: Convert to fraction form
    1,024.78/1,414.38 = 605.08/x
  3. Step 3: Cross multiply
    1,024.78x = 1,414.38 × 605.08
  4. Step 4: Simplify right side
    1,024.78x = 855,813.05
  5. Step 5: Solve for x
    x = 855,813.05/1,024.78
  6. Step 6: Final answer
    x = 835.12

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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.