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Finding the Fourth Proportional to 959.54, 1,324.24 and 610.70

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Solution

The fourth proportional to 959.54, 1,324.24 and 610.70 is: 842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.54 : 1,324.24 = 610.70 : x
  2. Step 2: Convert to fraction form
    959.54/1,324.24 = 610.70/x
  3. Step 3: Cross multiply
    959.54x = 1,324.24 × 610.70
  4. Step 4: Simplify right side
    959.54x = 808,713.37
  5. Step 5: Solve for x
    x = 808,713.37/959.54
  6. Step 6: Final answer
    x = 842.81

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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.