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Finding the Fourth Proportional to 1,106.85, 1,660.48 and 696.49

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Solution

The fourth proportional to 1,106.85, 1,660.48 and 696.49 is: 1,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.85 : 1,660.48 = 696.49 : x
  2. Step 2: Convert to fraction form
    1,106.85/1,660.48 = 696.49/x
  3. Step 3: Cross multiply
    1,106.85x = 1,660.48 × 696.49
  4. Step 4: Simplify right side
    1,106.85x = 1,156,507.72
  5. Step 5: Solve for x
    x = 1,156,507.72/1,106.85
  6. Step 6: Final answer
    x = 1,044.86

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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.