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Finding the Fourth Proportional to 709.76, 977.77 and 679.39

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Solution

The fourth proportional to 709.76, 977.77 and 679.39 is: 935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.76 : 977.77 = 679.39 : x
  2. Step 2: Convert to fraction form
    709.76/977.77 = 679.39/x
  3. Step 3: Cross multiply
    709.76x = 977.77 × 679.39
  4. Step 4: Simplify right side
    709.76x = 664,285.57
  5. Step 5: Solve for x
    x = 664,285.57/709.76
  6. Step 6: Final answer
    x = 935.93

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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.