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Finding the Fourth Proportional to 1,497.75, 2,066.91 and 868.31

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Solution

The fourth proportional to 1,497.75, 2,066.91 and 868.31 is: 1,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.75 : 2,066.91 = 868.31 : x
  2. Step 2: Convert to fraction form
    1,497.75/2,066.91 = 868.31/x
  3. Step 3: Cross multiply
    1,497.75x = 2,066.91 × 868.31
  4. Step 4: Simplify right side
    1,497.75x = 1,794,718.62
  5. Step 5: Solve for x
    x = 1,794,718.62/1,497.75
  6. Step 6: Final answer
    x = 1,198.28

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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.