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Finding the Fourth Proportional to 1,100.64, 1,650.96 and 451.83

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Solution

The fourth proportional to 1,100.64, 1,650.96 and 451.83 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.64 : 1,650.96 = 451.83 : x
  2. Step 2: Convert to fraction form
    1,100.64/1,650.96 = 451.83/x
  3. Step 3: Cross multiply
    1,100.64x = 1,650.96 × 451.83
  4. Step 4: Simplify right side
    1,100.64x = 745,953.26
  5. Step 5: Solve for x
    x = 745,953.26/1,100.64
  6. Step 6: Final answer
    x = 677.75

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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.