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Finding the Fourth Proportional to 648.50, 894.62 and 506.68

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Solution

The fourth proportional to 648.50, 894.62 and 506.68 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.50 : 894.62 = 506.68 : x
  2. Step 2: Convert to fraction form
    648.50/894.62 = 506.68/x
  3. Step 3: Cross multiply
    648.50x = 894.62 × 506.68
  4. Step 4: Simplify right side
    648.50x = 453,286.06
  5. Step 5: Solve for x
    x = 453,286.06/648.50
  6. Step 6: Final answer
    x = 698.98

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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.