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Finding the Fourth Proportional to 1,399.39, 2,099.04 and 474.94

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Solution

The fourth proportional to 1,399.39, 2,099.04 and 474.94 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.39 : 2,099.04 = 474.94 : x
  2. Step 2: Convert to fraction form
    1,399.39/2,099.04 = 474.94/x
  3. Step 3: Cross multiply
    1,399.39x = 2,099.04 × 474.94
  4. Step 4: Simplify right side
    1,399.39x = 996,918.06
  5. Step 5: Solve for x
    x = 996,918.06/1,399.39
  6. Step 6: Final answer
    x = 712.39

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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.