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Finding the Fourth Proportional to 1,109.36, 1,664.48 and 698.42

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Solution

The fourth proportional to 1,109.36, 1,664.48 and 698.42 is: 1,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.36 : 1,664.48 = 698.42 : x
  2. Step 2: Convert to fraction form
    1,109.36/1,664.48 = 698.42/x
  3. Step 3: Cross multiply
    1,109.36x = 1,664.48 × 698.42
  4. Step 4: Simplify right side
    1,109.36x = 1,162,512.03
  5. Step 5: Solve for x
    x = 1,162,512.03/1,109.36
  6. Step 6: Final answer
    x = 1,047.91

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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.