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Finding the Fourth Proportional to 998.20, 1,503.97 and 919.48

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Solution

The fourth proportional to 998.20, 1,503.97 and 919.48 is: 1,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.20 : 1,503.97 = 919.48 : x
  2. Step 2: Convert to fraction form
    998.20/1,503.97 = 919.48/x
  3. Step 3: Cross multiply
    998.20x = 1,503.97 × 919.48
  4. Step 4: Simplify right side
    998.20x = 1,382,870.34
  5. Step 5: Solve for x
    x = 1,382,870.34/998.20
  6. Step 6: Final answer
    x = 1,385.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.