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Finding the Fourth Proportional to 794.10, 1,191.34 and 274.08

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Solution

The fourth proportional to 794.10, 1,191.34 and 274.08 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.10 : 1,191.34 = 274.08 : x
  2. Step 2: Convert to fraction form
    794.10/1,191.34 = 274.08/x
  3. Step 3: Cross multiply
    794.10x = 1,191.34 × 274.08
  4. Step 4: Simplify right side
    794.10x = 326,522.47
  5. Step 5: Solve for x
    x = 326,522.47/794.10
  6. Step 6: Final answer
    x = 411.19

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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.