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Finding the Fourth Proportional to 758.09, 1,137.24 and 367.76

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Solution

The fourth proportional to 758.09, 1,137.24 and 367.76 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.09 : 1,137.24 = 367.76 : x
  2. Step 2: Convert to fraction form
    758.09/1,137.24 = 367.76/x
  3. Step 3: Cross multiply
    758.09x = 1,137.24 × 367.76
  4. Step 4: Simplify right side
    758.09x = 418,234.23
  5. Step 5: Solve for x
    x = 418,234.23/758.09
  6. Step 6: Final answer
    x = 551.70

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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.