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Finding the Fourth Proportional to 791.70, 1,184.07 and 705.66

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Solution

The fourth proportional to 791.70, 1,184.07 and 705.66 is: 1,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.70 : 1,184.07 = 705.66 : x
  2. Step 2: Convert to fraction form
    791.70/1,184.07 = 705.66/x
  3. Step 3: Cross multiply
    791.70x = 1,184.07 × 705.66
  4. Step 4: Simplify right side
    791.70x = 835,550.84
  5. Step 5: Solve for x
    x = 835,550.84/791.70
  6. Step 6: Final answer
    x = 1,055.39

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