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Finding the Fourth Proportional to 794.61, 1,191.63 and 274.47

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Solution

The fourth proportional to 794.61, 1,191.63 and 274.47 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.61 : 1,191.63 = 274.47 : x
  2. Step 2: Convert to fraction form
    794.61/1,191.63 = 274.47/x
  3. Step 3: Cross multiply
    794.61x = 1,191.63 × 274.47
  4. Step 4: Simplify right side
    794.61x = 327,066.69
  5. Step 5: Solve for x
    x = 327,066.69/794.61
  6. Step 6: Final answer
    x = 411.61

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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.