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Finding the Fourth Proportional to 913.91, 1,369.59 and 791.87

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Solution

The fourth proportional to 913.91, 1,369.59 and 791.87 is: 1,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.91 : 1,369.59 = 791.87 : x
  2. Step 2: Convert to fraction form
    913.91/1,369.59 = 791.87/x
  3. Step 3: Cross multiply
    913.91x = 1,369.59 × 791.87
  4. Step 4: Simplify right side
    913.91x = 1,084,537.23
  5. Step 5: Solve for x
    x = 1,084,537.23/913.91
  6. Step 6: Final answer
    x = 1,186.70

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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.