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Finding the Fourth Proportional to 998.04, 1,497.77 and 348.78

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Solution

The fourth proportional to 998.04, 1,497.77 and 348.78 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.04 : 1,497.77 = 348.78 : x
  2. Step 2: Convert to fraction form
    998.04/1,497.77 = 348.78/x
  3. Step 3: Cross multiply
    998.04x = 1,497.77 × 348.78
  4. Step 4: Simplify right side
    998.04x = 522,399.36
  5. Step 5: Solve for x
    x = 522,399.36/998.04
  6. Step 6: Final answer
    x = 523.42

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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.