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Finding the Fourth Proportional to 1,187.74, 1,639.68 and 796.82

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Solution

The fourth proportional to 1,187.74, 1,639.68 and 796.82 is: 1,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.74 : 1,639.68 = 796.82 : x
  2. Step 2: Convert to fraction form
    1,187.74/1,639.68 = 796.82/x
  3. Step 3: Cross multiply
    1,187.74x = 1,639.68 × 796.82
  4. Step 4: Simplify right side
    1,187.74x = 1,306,529.82
  5. Step 5: Solve for x
    x = 1,306,529.82/1,187.74
  6. Step 6: Final answer
    x = 1,100.01

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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.