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Finding the Fourth Proportional to 998.45, 1,377.84 and 556.35

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Solution

The fourth proportional to 998.45, 1,377.84 and 556.35 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.45 : 1,377.84 = 556.35 : x
  2. Step 2: Convert to fraction form
    998.45/1,377.84 = 556.35/x
  3. Step 3: Cross multiply
    998.45x = 1,377.84 × 556.35
  4. Step 4: Simplify right side
    998.45x = 766,554.39
  5. Step 5: Solve for x
    x = 766,554.39/998.45
  6. Step 6: Final answer
    x = 767.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.