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Finding the Fourth Proportional to 757.38, 1,135.77 and 294.90

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Solution

The fourth proportional to 757.38, 1,135.77 and 294.90 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.38 : 1,135.77 = 294.90 : x
  2. Step 2: Convert to fraction form
    757.38/1,135.77 = 294.90/x
  3. Step 3: Cross multiply
    757.38x = 1,135.77 × 294.90
  4. Step 4: Simplify right side
    757.38x = 334,938.57
  5. Step 5: Solve for x
    x = 334,938.57/757.38
  6. Step 6: Final answer
    x = 442.23

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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.