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Finding the Fourth Proportional to 757.34, 1,135.73 and 295.07

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Solution

The fourth proportional to 757.34, 1,135.73 and 295.07 is: 442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.34 : 1,135.73 = 295.07 : x
  2. Step 2: Convert to fraction form
    757.34/1,135.73 = 295.07/x
  3. Step 3: Cross multiply
    757.34x = 1,135.73 × 295.07
  4. Step 4: Simplify right side
    757.34x = 335,112.70
  5. Step 5: Solve for x
    x = 335,112.70/757.34
  6. Step 6: Final answer
    x = 442.49

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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.