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Finding the Fourth Proportional to 710.39, 979.97 and 488.96

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Solution

The fourth proportional to 710.39, 979.97 and 488.96 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.39 : 979.97 = 488.96 : x
  2. Step 2: Convert to fraction form
    710.39/979.97 = 488.96/x
  3. Step 3: Cross multiply
    710.39x = 979.97 × 488.96
  4. Step 4: Simplify right side
    710.39x = 479,163.38
  5. Step 5: Solve for x
    x = 479,163.38/710.39
  6. Step 6: Final answer
    x = 674.51

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Why These Related Problems?

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