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Finding the Fourth Proportional to 1,066.80, 1,600.72 and 450.72

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Solution

The fourth proportional to 1,066.80, 1,600.72 and 450.72 is: 676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.80 : 1,600.72 = 450.72 : x
  2. Step 2: Convert to fraction form
    1,066.80/1,600.72 = 450.72/x
  3. Step 3: Cross multiply
    1,066.80x = 1,600.72 × 450.72
  4. Step 4: Simplify right side
    1,066.80x = 721,476.52
  5. Step 5: Solve for x
    x = 721,476.52/1,066.80
  6. Step 6: Final answer
    x = 676.30

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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.