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Finding the Fourth Proportional to 1,100.71, 1,651.20 and 451.54

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Solution

The fourth proportional to 1,100.71, 1,651.20 and 451.54 is: 677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.71 : 1,651.20 = 451.54 : x
  2. Step 2: Convert to fraction form
    1,100.71/1,651.20 = 451.54/x
  3. Step 3: Cross multiply
    1,100.71x = 1,651.20 × 451.54
  4. Step 4: Simplify right side
    1,100.71x = 745,582.85
  5. Step 5: Solve for x
    x = 745,582.85/1,100.71
  6. Step 6: Final answer
    x = 677.37

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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.