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Finding the Fourth Proportional to 709.04, 1,063.67 and 221.99

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Solution

The fourth proportional to 709.04, 1,063.67 and 221.99 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.04 : 1,063.67 = 221.99 : x
  2. Step 2: Convert to fraction form
    709.04/1,063.67 = 221.99/x
  3. Step 3: Cross multiply
    709.04x = 1,063.67 × 221.99
  4. Step 4: Simplify right side
    709.04x = 236,117.68
  5. Step 5: Solve for x
    x = 236,117.68/709.04
  6. Step 6: Final answer
    x = 333.01

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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.