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Finding the Fourth Proportional to 1,097.36, 1,645.99 and 789.77

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Solution

The fourth proportional to 1,097.36, 1,645.99 and 789.77 is: 1,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.36 : 1,645.99 = 789.77 : x
  2. Step 2: Convert to fraction form
    1,097.36/1,645.99 = 789.77/x
  3. Step 3: Cross multiply
    1,097.36x = 1,645.99 × 789.77
  4. Step 4: Simplify right side
    1,097.36x = 1,299,943.32
  5. Step 5: Solve for x
    x = 1,299,943.32/1,097.36
  6. Step 6: Final answer
    x = 1,184.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.