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Finding the Fourth Proportional to 795.75, 1,191.31 and 591.22

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Solution

The fourth proportional to 795.75, 1,191.31 and 591.22 is: 885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.75 : 1,191.31 = 591.22 : x
  2. Step 2: Convert to fraction form
    795.75/1,191.31 = 591.22/x
  3. Step 3: Cross multiply
    795.75x = 1,191.31 × 591.22
  4. Step 4: Simplify right side
    795.75x = 704,329.66
  5. Step 5: Solve for x
    x = 704,329.66/795.75
  6. Step 6: Final answer
    x = 885.12

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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.