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Finding the Fourth Proportional to 998.66, 1,378.08 and 578.95

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Solution

The fourth proportional to 998.66, 1,378.08 and 578.95 is: 798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.66 : 1,378.08 = 578.95 : x
  2. Step 2: Convert to fraction form
    998.66/1,378.08 = 578.95/x
  3. Step 3: Cross multiply
    998.66x = 1,378.08 × 578.95
  4. Step 4: Simplify right side
    998.66x = 797,835.97
  5. Step 5: Solve for x
    x = 797,835.97/998.66
  6. Step 6: Final answer
    x = 798.90

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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.