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Finding the Fourth Proportional to 757.05, 1,135.74 and 263.46

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Solution

The fourth proportional to 757.05, 1,135.74 and 263.46 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.05 : 1,135.74 = 263.46 : x
  2. Step 2: Convert to fraction form
    757.05/1,135.74 = 263.46/x
  3. Step 3: Cross multiply
    757.05x = 1,135.74 × 263.46
  4. Step 4: Simplify right side
    757.05x = 299,222.06
  5. Step 5: Solve for x
    x = 299,222.06/757.05
  6. Step 6: Final answer
    x = 395.25

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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.