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Finding the Fourth Proportional to 998.07, 1,496.23 and 412.70

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Solution

The fourth proportional to 998.07, 1,496.23 and 412.70 is: 618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.07 : 1,496.23 = 412.70 : x
  2. Step 2: Convert to fraction form
    998.07/1,496.23 = 412.70/x
  3. Step 3: Cross multiply
    998.07x = 1,496.23 × 412.70
  4. Step 4: Simplify right side
    998.07x = 617,498.38
  5. Step 5: Solve for x
    x = 617,498.38/998.07
  6. Step 6: Final answer
    x = 618.69

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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.