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Finding the Fourth Proportional to 709.42, 1,063.96 and 270.58

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Solution

The fourth proportional to 709.42, 1,063.96 and 270.58 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.42 : 1,063.96 = 270.58 : x
  2. Step 2: Convert to fraction form
    709.42/1,063.96 = 270.58/x
  3. Step 3: Cross multiply
    709.42x = 1,063.96 × 270.58
  4. Step 4: Simplify right side
    709.42x = 287,886.30
  5. Step 5: Solve for x
    x = 287,886.30/709.42
  6. Step 6: Final answer
    x = 405.81

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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.