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Finding the Fourth Proportional to 709.49, 979.56 and 523.19

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Solution

The fourth proportional to 709.49, 979.56 and 523.19 is: 722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 979.56 = 523.19 : x
  2. Step 2: Convert to fraction form
    709.49/979.56 = 523.19/x
  3. Step 3: Cross multiply
    709.49x = 979.56 × 523.19
  4. Step 4: Simplify right side
    709.49x = 512,498.45
  5. Step 5: Solve for x
    x = 512,498.45/709.49
  6. Step 6: Final answer
    x = 722.35

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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.