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Finding the Fourth Proportional to 1,033.97, 1,427.16 and 614.48

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Solution

The fourth proportional to 1,033.97, 1,427.16 and 614.48 is: 848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.97 : 1,427.16 = 614.48 : x
  2. Step 2: Convert to fraction form
    1,033.97/1,427.16 = 614.48/x
  3. Step 3: Cross multiply
    1,033.97x = 1,427.16 × 614.48
  4. Step 4: Simplify right side
    1,033.97x = 876,954.14
  5. Step 5: Solve for x
    x = 876,954.14/1,033.97
  6. Step 6: Final answer
    x = 848.15

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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.