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Finding the Fourth Proportional to 851.74, 1,277.66 and 266.83

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Solution

The fourth proportional to 851.74, 1,277.66 and 266.83 is: 400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.74 : 1,277.66 = 266.83 : x
  2. Step 2: Convert to fraction form
    851.74/1,277.66 = 266.83/x
  3. Step 3: Cross multiply
    851.74x = 1,277.66 × 266.83
  4. Step 4: Simplify right side
    851.74x = 340,915.49
  5. Step 5: Solve for x
    x = 340,915.49/851.74
  6. Step 6: Final answer
    x = 400.26

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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.