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Finding the Fourth Proportional to 797.01, 1,099.32 and 782.43

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Solution

The fourth proportional to 797.01, 1,099.32 and 782.43 is: 1,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.01 : 1,099.32 = 782.43 : x
  2. Step 2: Convert to fraction form
    797.01/1,099.32 = 782.43/x
  3. Step 3: Cross multiply
    797.01x = 1,099.32 × 782.43
  4. Step 4: Simplify right side
    797.01x = 860,138.29
  5. Step 5: Solve for x
    x = 860,138.29/797.01
  6. Step 6: Final answer
    x = 1,079.21

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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.