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Finding the Fourth Proportional to 709.30, 979.32 and 543.22

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Solution

The fourth proportional to 709.30, 979.32 and 543.22 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.30 : 979.32 = 543.22 : x
  2. Step 2: Convert to fraction form
    709.30/979.32 = 543.22/x
  3. Step 3: Cross multiply
    709.30x = 979.32 × 543.22
  4. Step 4: Simplify right side
    709.30x = 531,986.21
  5. Step 5: Solve for x
    x = 531,986.21/709.30
  6. Step 6: Final answer
    x = 750.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.