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Finding the Fourth Proportional to 998.61, 1,497.79 and 268.24

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Solution

The fourth proportional to 998.61, 1,497.79 and 268.24 is: 402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.61 : 1,497.79 = 268.24 : x
  2. Step 2: Convert to fraction form
    998.61/1,497.79 = 268.24/x
  3. Step 3: Cross multiply
    998.61x = 1,497.79 × 268.24
  4. Step 4: Simplify right side
    998.61x = 401,763.78
  5. Step 5: Solve for x
    x = 401,763.78/998.61
  6. Step 6: Final answer
    x = 402.32

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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.