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Finding the Fourth Proportional to 1,109.52, 1,664.70 and 698.20

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Solution

The fourth proportional to 1,109.52, 1,664.70 and 698.20 is: 1,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.52 : 1,664.70 = 698.20 : x
  2. Step 2: Convert to fraction form
    1,109.52/1,664.70 = 698.20/x
  3. Step 3: Cross multiply
    1,109.52x = 1,664.70 × 698.20
  4. Step 4: Simplify right side
    1,109.52x = 1,162,293.54
  5. Step 5: Solve for x
    x = 1,162,293.54/1,109.52
  6. Step 6: Final answer
    x = 1,047.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.