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Finding the Fourth Proportional to 1,066.72, 1,600.62 and 655.96

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Solution

The fourth proportional to 1,066.72, 1,600.62 and 655.96 is: 984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.72 : 1,600.62 = 655.96 : x
  2. Step 2: Convert to fraction form
    1,066.72/1,600.62 = 655.96/x
  3. Step 3: Cross multiply
    1,066.72x = 1,600.62 × 655.96
  4. Step 4: Simplify right side
    1,066.72x = 1,049,942.70
  5. Step 5: Solve for x
    x = 1,049,942.70/1,066.72
  6. Step 6: Final answer
    x = 984.27

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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.