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Finding the Fourth Proportional to 983.98, 1,468.77 and 867.21

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Solution

The fourth proportional to 983.98, 1,468.77 and 867.21 is: 1,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.98 : 1,468.77 = 867.21 : x
  2. Step 2: Convert to fraction form
    983.98/1,468.77 = 867.21/x
  3. Step 3: Cross multiply
    983.98x = 1,468.77 × 867.21
  4. Step 4: Simplify right side
    983.98x = 1,273,735.80
  5. Step 5: Solve for x
    x = 1,273,735.80/983.98
  6. Step 6: Final answer
    x = 1,294.47

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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.