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Finding the Fourth Proportional to 983.19, 1,356.29 and 796.89

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Solution

The fourth proportional to 983.19, 1,356.29 and 796.89 is: 1,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.19 : 1,356.29 = 796.89 : x
  2. Step 2: Convert to fraction form
    983.19/1,356.29 = 796.89/x
  3. Step 3: Cross multiply
    983.19x = 1,356.29 × 796.89
  4. Step 4: Simplify right side
    983.19x = 1,080,803.17
  5. Step 5: Solve for x
    x = 1,080,803.17/983.19
  6. Step 6: Final answer
    x = 1,099.29

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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.