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Finding the Fourth Proportional to 709.67, 1,064.49 and 222.75

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Solution

The fourth proportional to 709.67, 1,064.49 and 222.75 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 1,064.49 = 222.75 : x
  2. Step 2: Convert to fraction form
    709.67/1,064.49 = 222.75/x
  3. Step 3: Cross multiply
    709.67x = 1,064.49 × 222.75
  4. Step 4: Simplify right side
    709.67x = 237,115.15
  5. Step 5: Solve for x
    x = 237,115.15/709.67
  6. Step 6: Final answer
    x = 334.12

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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.