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Finding the Fourth Proportional to 998.82, 1,378.28 and 556.67

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Solution

The fourth proportional to 998.82, 1,378.28 and 556.67 is: 768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.82 : 1,378.28 = 556.67 : x
  2. Step 2: Convert to fraction form
    998.82/1,378.28 = 556.67/x
  3. Step 3: Cross multiply
    998.82x = 1,378.28 × 556.67
  4. Step 4: Simplify right side
    998.82x = 767,250.57
  5. Step 5: Solve for x
    x = 767,250.57/998.82
  6. Step 6: Final answer
    x = 768.16

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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.