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Finding the Fourth Proportional to 914.18, 1,370.06 and 791.87

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Solution

The fourth proportional to 914.18, 1,370.06 and 791.87 is: 1,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.18 : 1,370.06 = 791.87 : x
  2. Step 2: Convert to fraction form
    914.18/1,370.06 = 791.87/x
  3. Step 3: Cross multiply
    914.18x = 1,370.06 × 791.87
  4. Step 4: Simplify right side
    914.18x = 1,084,905.45
  5. Step 5: Solve for x
    x = 1,084,905.45/914.18
  6. Step 6: Final answer
    x = 1,186.75

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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.