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Finding the Fourth Proportional to 1,096.90, 1,645.33 and 275.17

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Solution

The fourth proportional to 1,096.90, 1,645.33 and 275.17 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.90 : 1,645.33 = 275.17 : x
  2. Step 2: Convert to fraction form
    1,096.90/1,645.33 = 275.17/x
  3. Step 3: Cross multiply
    1,096.90x = 1,645.33 × 275.17
  4. Step 4: Simplify right side
    1,096.90x = 452,745.46
  5. Step 5: Solve for x
    x = 452,745.46/1,096.90
  6. Step 6: Final answer
    x = 412.75

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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.