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Finding the Fourth Proportional to 709.12, 1,063.70 and 222.16

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Solution

The fourth proportional to 709.12, 1,063.70 and 222.16 is: 333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,063.70 = 222.16 : x
  2. Step 2: Convert to fraction form
    709.12/1,063.70 = 222.16/x
  3. Step 3: Cross multiply
    709.12x = 1,063.70 × 222.16
  4. Step 4: Simplify right side
    709.12x = 236,311.59
  5. Step 5: Solve for x
    x = 236,311.59/709.12
  6. Step 6: Final answer
    x = 333.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.