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Finding the Fourth Proportional to 767.97, 1,152.11 and 274.40

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Solution

The fourth proportional to 767.97, 1,152.11 and 274.40 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.97 : 1,152.11 = 274.40 : x
  2. Step 2: Convert to fraction form
    767.97/1,152.11 = 274.40/x
  3. Step 3: Cross multiply
    767.97x = 1,152.11 × 274.40
  4. Step 4: Simplify right side
    767.97x = 316,138.74
  5. Step 5: Solve for x
    x = 316,138.74/767.97
  6. Step 6: Final answer
    x = 411.66

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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.