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Finding the Fourth Proportional to 1,026.33, 1,414.41 and 731.10

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Solution

The fourth proportional to 1,026.33, 1,414.41 and 731.10 is: 1,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,414.41 = 731.10 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,414.41 = 731.10/x
  3. Step 3: Cross multiply
    1,026.33x = 1,414.41 × 731.10
  4. Step 4: Simplify right side
    1,026.33x = 1,034,075.15
  5. Step 5: Solve for x
    x = 1,034,075.15/1,026.33
  6. Step 6: Final answer
    x = 1,007.55

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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.