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Finding the Fourth Proportional to 795.27, 1,191.82 and 506.19

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Solution

The fourth proportional to 795.27, 1,191.82 and 506.19 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.27 : 1,191.82 = 506.19 : x
  2. Step 2: Convert to fraction form
    795.27/1,191.82 = 506.19/x
  3. Step 3: Cross multiply
    795.27x = 1,191.82 × 506.19
  4. Step 4: Simplify right side
    795.27x = 603,287.37
  5. Step 5: Solve for x
    x = 603,287.37/795.27
  6. Step 6: Final answer
    x = 758.59

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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.