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Finding the Fourth Proportional to 1,474.28, 2,212.20 and 653.12

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Solution

The fourth proportional to 1,474.28, 2,212.20 and 653.12 is: 980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.28 : 2,212.20 = 653.12 : x
  2. Step 2: Convert to fraction form
    1,474.28/2,212.20 = 653.12/x
  3. Step 3: Cross multiply
    1,474.28x = 2,212.20 × 653.12
  4. Step 4: Simplify right side
    1,474.28x = 1,444,837.59
  5. Step 5: Solve for x
    x = 1,444,837.59/1,474.28
  6. Step 6: Final answer
    x = 980.03

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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.