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Finding the Fourth Proportional to 983.70, 1,355.85 and 796.50

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Solution

The fourth proportional to 983.70, 1,355.85 and 796.50 is: 1,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.70 : 1,355.85 = 796.50 : x
  2. Step 2: Convert to fraction form
    983.70/1,355.85 = 796.50/x
  3. Step 3: Cross multiply
    983.70x = 1,355.85 × 796.50
  4. Step 4: Simplify right side
    983.70x = 1,079,934.53
  5. Step 5: Solve for x
    x = 1,079,934.53/983.70
  6. Step 6: Final answer
    x = 1,097.83

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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.