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Finding the Fourth Proportional to 998.17, 1,496.70 and 413

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Solution

The fourth proportional to 998.17, 1,496.70 and 413 is: 619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.17 : 1,496.70 = 413 : x
  2. Step 2: Convert to fraction form
    998.17/1,496.70 = 413/x
  3. Step 3: Cross multiply
    998.17x = 1,496.70 × 413
  4. Step 4: Simplify right side
    998.17x = 618,137.10
  5. Step 5: Solve for x
    x = 618,137.10/998.17
  6. Step 6: Final answer
    x = 619.27

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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.