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Finding the Fourth Proportional to 709.73, 1,064.54 and 270.80

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Solution

The fourth proportional to 709.73, 1,064.54 and 270.80 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.73 : 1,064.54 = 270.80 : x
  2. Step 2: Convert to fraction form
    709.73/1,064.54 = 270.80/x
  3. Step 3: Cross multiply
    709.73x = 1,064.54 × 270.80
  4. Step 4: Simplify right side
    709.73x = 288,270.76
  5. Step 5: Solve for x
    x = 288,270.76/709.73
  6. Step 6: Final answer
    x = 406.17

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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.