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Finding the Fourth Proportional to 851.76, 1,277.46 and 274.68

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Solution

The fourth proportional to 851.76, 1,277.46 and 274.68 is: 411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,277.46 = 274.68 : x
  2. Step 2: Convert to fraction form
    851.76/1,277.46 = 274.68/x
  3. Step 3: Cross multiply
    851.76x = 1,277.46 × 274.68
  4. Step 4: Simplify right side
    851.76x = 350,892.71
  5. Step 5: Solve for x
    x = 350,892.71/851.76
  6. Step 6: Final answer
    x = 411.96

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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.