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Finding the Fourth Proportional to 758.95, 1,138.21 and 326

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Solution

The fourth proportional to 758.95, 1,138.21 and 326 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.95 : 1,138.21 = 326 : x
  2. Step 2: Convert to fraction form
    758.95/1,138.21 = 326/x
  3. Step 3: Cross multiply
    758.95x = 1,138.21 × 326
  4. Step 4: Simplify right side
    758.95x = 371,056.46
  5. Step 5: Solve for x
    x = 371,056.46/758.95
  6. Step 6: Final answer
    x = 488.91

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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.