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Finding the Fourth Proportional to 757.07, 1,134.93 and 263.14

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Solution

The fourth proportional to 757.07, 1,134.93 and 263.14 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.07 : 1,134.93 = 263.14 : x
  2. Step 2: Convert to fraction form
    757.07/1,134.93 = 263.14/x
  3. Step 3: Cross multiply
    757.07x = 1,134.93 × 263.14
  4. Step 4: Simplify right side
    757.07x = 298,640.79
  5. Step 5: Solve for x
    x = 298,640.79/757.07
  6. Step 6: Final answer
    x = 394.47

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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.