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Finding the Fourth Proportional to 758.49, 1,137.86 and 271.44

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Solution

The fourth proportional to 758.49, 1,137.86 and 271.44 is: 407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.49 : 1,137.86 = 271.44 : x
  2. Step 2: Convert to fraction form
    758.49/1,137.86 = 271.44/x
  3. Step 3: Cross multiply
    758.49x = 1,137.86 × 271.44
  4. Step 4: Simplify right side
    758.49x = 308,859.36
  5. Step 5: Solve for x
    x = 308,859.36/758.49
  6. Step 6: Final answer
    x = 407.20

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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.