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Finding the Fourth Proportional to 1,100.89, 1,652.06 and 451.63

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Solution

The fourth proportional to 1,100.89, 1,652.06 and 451.63 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.89 : 1,652.06 = 451.63 : x
  2. Step 2: Convert to fraction form
    1,100.89/1,652.06 = 451.63/x
  3. Step 3: Cross multiply
    1,100.89x = 1,652.06 × 451.63
  4. Step 4: Simplify right side
    1,100.89x = 746,119.86
  5. Step 5: Solve for x
    x = 746,119.86/1,100.89
  6. Step 6: Final answer
    x = 677.74

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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.