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Finding the Fourth Proportional to 1,218.01, 1,680.78 and 694

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Solution

The fourth proportional to 1,218.01, 1,680.78 and 694 is: 957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.01 : 1,680.78 = 694 : x
  2. Step 2: Convert to fraction form
    1,218.01/1,680.78 = 694/x
  3. Step 3: Cross multiply
    1,218.01x = 1,680.78 × 694
  4. Step 4: Simplify right side
    1,218.01x = 1,166,461.32
  5. Step 5: Solve for x
    x = 1,166,461.32/1,218.01
  6. Step 6: Final answer
    x = 957.68

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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.