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Finding the Fourth Proportional to 758.35, 1,137.63 and 411.73

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Solution

The fourth proportional to 758.35, 1,137.63 and 411.73 is: 617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.35 : 1,137.63 = 411.73 : x
  2. Step 2: Convert to fraction form
    758.35/1,137.63 = 411.73/x
  3. Step 3: Cross multiply
    758.35x = 1,137.63 × 411.73
  4. Step 4: Simplify right side
    758.35x = 468,396.40
  5. Step 5: Solve for x
    x = 468,396.40/758.35
  6. Step 6: Final answer
    x = 617.65

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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.