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Finding the Fourth Proportional to 1,100.96, 1,651.44 and 451.72

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Solution

The fourth proportional to 1,100.96, 1,651.44 and 451.72 is: 677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.96 : 1,651.44 = 451.72 : x
  2. Step 2: Convert to fraction form
    1,100.96/1,651.44 = 451.72/x
  3. Step 3: Cross multiply
    1,100.96x = 1,651.44 × 451.72
  4. Step 4: Simplify right side
    1,100.96x = 745,988.48
  5. Step 5: Solve for x
    x = 745,988.48/1,100.96
  6. Step 6: Final answer
    x = 677.58

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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.