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Finding the Fourth Proportional to 794.76, 1,191.26 and 274.28

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Solution

The fourth proportional to 794.76, 1,191.26 and 274.28 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.76 : 1,191.26 = 274.28 : x
  2. Step 2: Convert to fraction form
    794.76/1,191.26 = 274.28/x
  3. Step 3: Cross multiply
    794.76x = 1,191.26 × 274.28
  4. Step 4: Simplify right side
    794.76x = 326,731.47
  5. Step 5: Solve for x
    x = 326,731.47/794.76
  6. Step 6: Final answer
    x = 411.11

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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.