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Finding the Fourth Proportional to 694.87, 959.75 and 508.06

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Solution

The fourth proportional to 694.87, 959.75 and 508.06 is: 701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.87 : 959.75 = 508.06 : x
  2. Step 2: Convert to fraction form
    694.87/959.75 = 508.06/x
  3. Step 3: Cross multiply
    694.87x = 959.75 × 508.06
  4. Step 4: Simplify right side
    694.87x = 487,610.59
  5. Step 5: Solve for x
    x = 487,610.59/694.87
  6. Step 6: Final answer
    x = 701.73

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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.