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Finding the Fourth Proportional to 709.12, 1,063.52 and 270.42

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Solution

The fourth proportional to 709.12, 1,063.52 and 270.42 is: 405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,063.52 = 270.42 : x
  2. Step 2: Convert to fraction form
    709.12/1,063.52 = 270.42/x
  3. Step 3: Cross multiply
    709.12x = 1,063.52 × 270.42
  4. Step 4: Simplify right side
    709.12x = 287,599.06
  5. Step 5: Solve for x
    x = 287,599.06/709.12
  6. Step 6: Final answer
    x = 405.57

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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.