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Finding the Fourth Proportional to 998.69, 1,378.14 and 556.50

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Solution

The fourth proportional to 998.69, 1,378.14 and 556.50 is: 767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.69 : 1,378.14 = 556.50 : x
  2. Step 2: Convert to fraction form
    998.69/1,378.14 = 556.50/x
  3. Step 3: Cross multiply
    998.69x = 1,378.14 × 556.50
  4. Step 4: Simplify right side
    998.69x = 766,937.99
  5. Step 5: Solve for x
    x = 766,937.99/998.69
  6. Step 6: Final answer
    x = 767.95

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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.