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Finding the Fourth Proportional to 1,400.28, 2,099.46 and 475.38

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Solution

The fourth proportional to 1,400.28, 2,099.46 and 475.38 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.28 : 2,099.46 = 475.38 : x
  2. Step 2: Convert to fraction form
    1,400.28/2,099.46 = 475.38/x
  3. Step 3: Cross multiply
    1,400.28x = 2,099.46 × 475.38
  4. Step 4: Simplify right side
    1,400.28x = 998,041.29
  5. Step 5: Solve for x
    x = 998,041.29/1,400.28
  6. Step 6: Final answer
    x = 712.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.