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Finding the Fourth Proportional to 998.16, 1,377.63 and 644.52

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Solution

The fourth proportional to 998.16, 1,377.63 and 644.52 is: 889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,377.63 = 644.52 : x
  2. Step 2: Convert to fraction form
    998.16/1,377.63 = 644.52/x
  3. Step 3: Cross multiply
    998.16x = 1,377.63 × 644.52
  4. Step 4: Simplify right side
    998.16x = 887,905.44
  5. Step 5: Solve for x
    x = 887,905.44/998.16
  6. Step 6: Final answer
    x = 889.55

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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.