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Finding the Fourth Proportional to 709.84, 979.44 and 461.14

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Solution

The fourth proportional to 709.84, 979.44 and 461.14 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 979.44 = 461.14 : x
  2. Step 2: Convert to fraction form
    709.84/979.44 = 461.14/x
  3. Step 3: Cross multiply
    709.84x = 979.44 × 461.14
  4. Step 4: Simplify right side
    709.84x = 451,658.96
  5. Step 5: Solve for x
    x = 451,658.96/709.84
  6. Step 6: Final answer
    x = 636.28

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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.