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Finding the Fourth Proportional to 645.30, 960.80 and 641.70

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Solution

The fourth proportional to 645.30, 960.80 and 641.70 is: 955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.30 : 960.80 = 641.70 : x
  2. Step 2: Convert to fraction form
    645.30/960.80 = 641.70/x
  3. Step 3: Cross multiply
    645.30x = 960.80 × 641.70
  4. Step 4: Simplify right side
    645.30x = 616,542.15
  5. Step 5: Solve for x
    x = 616,542.15/645.30
  6. Step 6: Final answer
    x = 955.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.