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Finding the Fourth Proportional to 1,100.51, 1,651.08 and 451.29

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Solution

The fourth proportional to 1,100.51, 1,651.08 and 451.29 is: 677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.51 : 1,651.08 = 451.29 : x
  2. Step 2: Convert to fraction form
    1,100.51/1,651.08 = 451.29/x
  3. Step 3: Cross multiply
    1,100.51x = 1,651.08 × 451.29
  4. Step 4: Simplify right side
    1,100.51x = 745,115.89
  5. Step 5: Solve for x
    x = 745,115.89/1,100.51
  6. Step 6: Final answer
    x = 677.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.