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Finding the Fourth Proportional to 1,331.77, 1,984.28 and 1,257.25

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Solution

The fourth proportional to 1,331.77, 1,984.28 and 1,257.25 is: 1,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.77 : 1,984.28 = 1,257.25 : x
  2. Step 2: Convert to fraction form
    1,331.77/1,984.28 = 1,257.25/x
  3. Step 3: Cross multiply
    1,331.77x = 1,984.28 × 1,257.25
  4. Step 4: Simplify right side
    1,331.77x = 2,494,729.74
  5. Step 5: Solve for x
    x = 2,494,729.74/1,331.77
  6. Step 6: Final answer
    x = 1,873.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.