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Finding the Fourth Proportional to 758.85, 1,137.84 and 296.09

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Solution

The fourth proportional to 758.85, 1,137.84 and 296.09 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.85 : 1,137.84 = 296.09 : x
  2. Step 2: Convert to fraction form
    758.85/1,137.84 = 296.09/x
  3. Step 3: Cross multiply
    758.85x = 1,137.84 × 296.09
  4. Step 4: Simplify right side
    758.85x = 336,903.05
  5. Step 5: Solve for x
    x = 336,903.05/758.85
  6. Step 6: Final answer
    x = 443.97

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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.