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Finding the Fourth Proportional to 1,024.01, 1,414.31 and 745.49

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Solution

The fourth proportional to 1,024.01, 1,414.31 and 745.49 is: 1,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.01 : 1,414.31 = 745.49 : x
  2. Step 2: Convert to fraction form
    1,024.01/1,414.31 = 745.49/x
  3. Step 3: Cross multiply
    1,024.01x = 1,414.31 × 745.49
  4. Step 4: Simplify right side
    1,024.01x = 1,054,350.01
  5. Step 5: Solve for x
    x = 1,054,350.01/1,024.01
  6. Step 6: Final answer
    x = 1,029.63

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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.