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Finding the Fourth Proportional to 1,475.28, 2,213.70 and 654.12

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Solution

The fourth proportional to 1,475.28, 2,213.70 and 654.12 is: 981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.28 : 2,213.70 = 654.12 : x
  2. Step 2: Convert to fraction form
    1,475.28/2,213.70 = 654.12/x
  3. Step 3: Cross multiply
    1,475.28x = 2,213.70 × 654.12
  4. Step 4: Simplify right side
    1,475.28x = 1,448,025.44
  5. Step 5: Solve for x
    x = 1,448,025.44/1,475.28
  6. Step 6: Final answer
    x = 981.53

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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.