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Finding the Fourth Proportional to 998.24, 1,377.62 and 703.60

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Solution

The fourth proportional to 998.24, 1,377.62 and 703.60 is: 971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.24 : 1,377.62 = 703.60 : x
  2. Step 2: Convert to fraction form
    998.24/1,377.62 = 703.60/x
  3. Step 3: Cross multiply
    998.24x = 1,377.62 × 703.60
  4. Step 4: Simplify right side
    998.24x = 969,293.43
  5. Step 5: Solve for x
    x = 969,293.43/998.24
  6. Step 6: Final answer
    x = 971.00

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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.