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Finding the Fourth Proportional to 998.31, 1,377.48 and 666.21

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Solution

The fourth proportional to 998.31, 1,377.48 and 666.21 is: 919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.31 : 1,377.48 = 666.21 : x
  2. Step 2: Convert to fraction form
    998.31/1,377.48 = 666.21/x
  3. Step 3: Cross multiply
    998.31x = 1,377.48 × 666.21
  4. Step 4: Simplify right side
    998.31x = 917,690.95
  5. Step 5: Solve for x
    x = 917,690.95/998.31
  6. Step 6: Final answer
    x = 919.24

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