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Finding the Fourth Proportional to 1,109.97, 1,664.80 and 697.84

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Solution

The fourth proportional to 1,109.97, 1,664.80 and 697.84 is: 1,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.97 : 1,664.80 = 697.84 : x
  2. Step 2: Convert to fraction form
    1,109.97/1,664.80 = 697.84/x
  3. Step 3: Cross multiply
    1,109.97x = 1,664.80 × 697.84
  4. Step 4: Simplify right side
    1,109.97x = 1,161,764.03
  5. Step 5: Solve for x
    x = 1,161,764.03/1,109.97
  6. Step 6: Final answer
    x = 1,046.66

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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.