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Finding the Fourth Proportional to 709.32, 1,063.64 and 270.65

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Solution

The fourth proportional to 709.32, 1,063.64 and 270.65 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.32 : 1,063.64 = 270.65 : x
  2. Step 2: Convert to fraction form
    709.32/1,063.64 = 270.65/x
  3. Step 3: Cross multiply
    709.32x = 1,063.64 × 270.65
  4. Step 4: Simplify right side
    709.32x = 287,873.51
  5. Step 5: Solve for x
    x = 287,873.51/709.32
  6. Step 6: Final answer
    x = 405.85

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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.