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Finding the Fourth Proportional to 756.67, 1,134.47 and 294.06

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Solution

The fourth proportional to 756.67, 1,134.47 and 294.06 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.67 : 1,134.47 = 294.06 : x
  2. Step 2: Convert to fraction form
    756.67/1,134.47 = 294.06/x
  3. Step 3: Cross multiply
    756.67x = 1,134.47 × 294.06
  4. Step 4: Simplify right side
    756.67x = 333,600.78
  5. Step 5: Solve for x
    x = 333,600.78/756.67
  6. Step 6: Final answer
    x = 440.88

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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.