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Finding the Fourth Proportional to 772.98, 1,159.47 and 195.86

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Solution

The fourth proportional to 772.98, 1,159.47 and 195.86 is: 293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.98 : 1,159.47 = 195.86 : x
  2. Step 2: Convert to fraction form
    772.98/1,159.47 = 195.86/x
  3. Step 3: Cross multiply
    772.98x = 1,159.47 × 195.86
  4. Step 4: Simplify right side
    772.98x = 227,093.79
  5. Step 5: Solve for x
    x = 227,093.79/772.98
  6. Step 6: Final answer
    x = 293.79

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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.