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Finding the Fourth Proportional to 1,092.20, 1,506.78 and 698.96

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Solution

The fourth proportional to 1,092.20, 1,506.78 and 698.96 is: 964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.20 : 1,506.78 = 698.96 : x
  2. Step 2: Convert to fraction form
    1,092.20/1,506.78 = 698.96/x
  3. Step 3: Cross multiply
    1,092.20x = 1,506.78 × 698.96
  4. Step 4: Simplify right side
    1,092.20x = 1,053,178.95
  5. Step 5: Solve for x
    x = 1,053,178.95/1,092.20
  6. Step 6: Final answer
    x = 964.27

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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.