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Finding the Fourth Proportional to 758.09, 1,137.33 and 295.89

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Solution

The fourth proportional to 758.09, 1,137.33 and 295.89 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.09 : 1,137.33 = 295.89 : x
  2. Step 2: Convert to fraction form
    758.09/1,137.33 = 295.89/x
  3. Step 3: Cross multiply
    758.09x = 1,137.33 × 295.89
  4. Step 4: Simplify right side
    758.09x = 336,524.57
  5. Step 5: Solve for x
    x = 336,524.57/758.09
  6. Step 6: Final answer
    x = 443.91

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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.