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Finding the Fourth Proportional to 1,251.97, 1,727.51 and 921.20

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Solution

The fourth proportional to 1,251.97, 1,727.51 and 921.20 is: 1,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.97 : 1,727.51 = 921.20 : x
  2. Step 2: Convert to fraction form
    1,251.97/1,727.51 = 921.20/x
  3. Step 3: Cross multiply
    1,251.97x = 1,727.51 × 921.20
  4. Step 4: Simplify right side
    1,251.97x = 1,591,368.97
  5. Step 5: Solve for x
    x = 1,591,368.97/1,251.97
  6. Step 6: Final answer
    x = 1,271.09

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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.