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Finding the Fourth Proportional to 795.92, 1,185.67 and 771.74

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Solution

The fourth proportional to 795.92, 1,185.67 and 771.74 is: 1,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.92 : 1,185.67 = 771.74 : x
  2. Step 2: Convert to fraction form
    795.92/1,185.67 = 771.74/x
  3. Step 3: Cross multiply
    795.92x = 1,185.67 × 771.74
  4. Step 4: Simplify right side
    795.92x = 915,027.93
  5. Step 5: Solve for x
    x = 915,027.93/795.92
  6. Step 6: Final answer
    x = 1,149.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.