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Finding the Fourth Proportional to 681.49, 1,021.51 and 357.49

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Solution

The fourth proportional to 681.49, 1,021.51 and 357.49 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.49 : 1,021.51 = 357.49 : x
  2. Step 2: Convert to fraction form
    681.49/1,021.51 = 357.49/x
  3. Step 3: Cross multiply
    681.49x = 1,021.51 × 357.49
  4. Step 4: Simplify right side
    681.49x = 365,179.61
  5. Step 5: Solve for x
    x = 365,179.61/681.49
  6. Step 6: Final answer
    x = 535.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.