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Finding the Fourth Proportional to 1,100.52, 1,651.14 and 451.80

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Solution

The fourth proportional to 1,100.52, 1,651.14 and 451.80 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.52 : 1,651.14 = 451.80 : x
  2. Step 2: Convert to fraction form
    1,100.52/1,651.14 = 451.80/x
  3. Step 3: Cross multiply
    1,100.52x = 1,651.14 × 451.80
  4. Step 4: Simplify right side
    1,100.52x = 745,985.05
  5. Step 5: Solve for x
    x = 745,985.05/1,100.52
  6. Step 6: Final answer
    x = 677.85

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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.