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Finding the Fourth Proportional to 851.32, 1,277.07 and 274.24

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Solution

The fourth proportional to 851.32, 1,277.07 and 274.24 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.32 : 1,277.07 = 274.24 : x
  2. Step 2: Convert to fraction form
    851.32/1,277.07 = 274.24/x
  3. Step 3: Cross multiply
    851.32x = 1,277.07 × 274.24
  4. Step 4: Simplify right side
    851.32x = 350,223.68
  5. Step 5: Solve for x
    x = 350,223.68/851.32
  6. Step 6: Final answer
    x = 411.39

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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.