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Finding the Fourth Proportional to 931.34, 1,282.33 and 791.18

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Solution

The fourth proportional to 931.34, 1,282.33 and 791.18 is: 1,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.34 : 1,282.33 = 791.18 : x
  2. Step 2: Convert to fraction form
    931.34/1,282.33 = 791.18/x
  3. Step 3: Cross multiply
    931.34x = 1,282.33 × 791.18
  4. Step 4: Simplify right side
    931.34x = 1,014,553.85
  5. Step 5: Solve for x
    x = 1,014,553.85/931.34
  6. Step 6: Final answer
    x = 1,089.35

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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.