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Finding the Fourth Proportional to 1,471.82, 2,207.61 and 650.12

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Solution

The fourth proportional to 1,471.82, 2,207.61 and 650.12 is: 975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.82 : 2,207.61 = 650.12 : x
  2. Step 2: Convert to fraction form
    1,471.82/2,207.61 = 650.12/x
  3. Step 3: Cross multiply
    1,471.82x = 2,207.61 × 650.12
  4. Step 4: Simplify right side
    1,471.82x = 1,435,200.38
  5. Step 5: Solve for x
    x = 1,435,200.38/1,471.82
  6. Step 6: Final answer
    x = 975.12

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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.