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Finding the Fourth Proportional to 1,399.74, 2,099.36 and 412.35

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Solution

The fourth proportional to 1,399.74, 2,099.36 and 412.35 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.74 : 2,099.36 = 412.35 : x
  2. Step 2: Convert to fraction form
    1,399.74/2,099.36 = 412.35/x
  3. Step 3: Cross multiply
    1,399.74x = 2,099.36 × 412.35
  4. Step 4: Simplify right side
    1,399.74x = 865,669.03
  5. Step 5: Solve for x
    x = 865,669.03/1,399.74
  6. Step 6: Final answer
    x = 618.45

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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.