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Finding the Fourth Proportional to 1,217.97, 1,681.10 and 694.31

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Solution

The fourth proportional to 1,217.97, 1,681.10 and 694.31 is: 958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.97 : 1,681.10 = 694.31 : x
  2. Step 2: Convert to fraction form
    1,217.97/1,681.10 = 694.31/x
  3. Step 3: Cross multiply
    1,217.97x = 1,681.10 × 694.31
  4. Step 4: Simplify right side
    1,217.97x = 1,167,204.54
  5. Step 5: Solve for x
    x = 1,167,204.54/1,217.97
  6. Step 6: Final answer
    x = 958.32

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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.