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Finding the Fourth Proportional to 1,532.28, 2,298.12 and 607.56

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Solution

The fourth proportional to 1,532.28, 2,298.12 and 607.56 is: 911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.28 : 2,298.12 = 607.56 : x
  2. Step 2: Convert to fraction form
    1,532.28/2,298.12 = 607.56/x
  3. Step 3: Cross multiply
    1,532.28x = 2,298.12 × 607.56
  4. Step 4: Simplify right side
    1,532.28x = 1,396,245.79
  5. Step 5: Solve for x
    x = 1,396,245.79/1,532.28
  6. Step 6: Final answer
    x = 911.22

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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.