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Finding the Fourth Proportional to 758.15, 1,137.32 and 271.16

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Solution

The fourth proportional to 758.15, 1,137.32 and 271.16 is: 406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.15 : 1,137.32 = 271.16 : x
  2. Step 2: Convert to fraction form
    758.15/1,137.32 = 271.16/x
  3. Step 3: Cross multiply
    758.15x = 1,137.32 × 271.16
  4. Step 4: Simplify right side
    758.15x = 308,395.69
  5. Step 5: Solve for x
    x = 308,395.69/758.15
  6. Step 6: Final answer
    x = 406.77

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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.