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Finding the Fourth Proportional to 1,100.29, 1,649.32 and 689.71

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Solution

The fourth proportional to 1,100.29, 1,649.32 and 689.71 is: 1,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.29 : 1,649.32 = 689.71 : x
  2. Step 2: Convert to fraction form
    1,100.29/1,649.32 = 689.71/x
  3. Step 3: Cross multiply
    1,100.29x = 1,649.32 × 689.71
  4. Step 4: Simplify right side
    1,100.29x = 1,137,557.65
  5. Step 5: Solve for x
    x = 1,137,557.65/1,100.29
  6. Step 6: Final answer
    x = 1,033.87

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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.