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Finding the Fourth Proportional to 709.84, 1,064.78 and 222.85

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Solution

The fourth proportional to 709.84, 1,064.78 and 222.85 is: 334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 1,064.78 = 222.85 : x
  2. Step 2: Convert to fraction form
    709.84/1,064.78 = 222.85/x
  3. Step 3: Cross multiply
    709.84x = 1,064.78 × 222.85
  4. Step 4: Simplify right side
    709.84x = 237,279.78
  5. Step 5: Solve for x
    x = 237,279.78/709.84
  6. Step 6: Final answer
    x = 334.27

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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.