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Finding the Fourth Proportional to 757.13, 1,135.77 and 295.03

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Solution

The fourth proportional to 757.13, 1,135.77 and 295.03 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.13 : 1,135.77 = 295.03 : x
  2. Step 2: Convert to fraction form
    757.13/1,135.77 = 295.03/x
  3. Step 3: Cross multiply
    757.13x = 1,135.77 × 295.03
  4. Step 4: Simplify right side
    757.13x = 335,083.38
  5. Step 5: Solve for x
    x = 335,083.38/757.13
  6. Step 6: Final answer
    x = 442.57

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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.