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Finding the Fourth Proportional to 1,100.43, 1,650.74 and 451.17

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Solution

The fourth proportional to 1,100.43, 1,650.74 and 451.17 is: 676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.43 : 1,650.74 = 451.17 : x
  2. Step 2: Convert to fraction form
    1,100.43/1,650.74 = 451.17/x
  3. Step 3: Cross multiply
    1,100.43x = 1,650.74 × 451.17
  4. Step 4: Simplify right side
    1,100.43x = 744,762.11
  5. Step 5: Solve for x
    x = 744,762.11/1,100.43
  6. Step 6: Final answer
    x = 676.79

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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.