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Finding the Fourth Proportional to 709.08, 1,063.26 and 324

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Solution

The fourth proportional to 709.08, 1,063.26 and 324 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 1,063.26 = 324 : x
  2. Step 2: Convert to fraction form
    709.08/1,063.26 = 324/x
  3. Step 3: Cross multiply
    709.08x = 1,063.26 × 324
  4. Step 4: Simplify right side
    709.08x = 344,496.24
  5. Step 5: Solve for x
    x = 344,496.24/709.08
  6. Step 6: Final answer
    x = 485.84

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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.