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Finding the Fourth Proportional to 681.47, 1,021.26 and 356.19

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Solution

The fourth proportional to 681.47, 1,021.26 and 356.19 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.47 : 1,021.26 = 356.19 : x
  2. Step 2: Convert to fraction form
    681.47/1,021.26 = 356.19/x
  3. Step 3: Cross multiply
    681.47x = 1,021.26 × 356.19
  4. Step 4: Simplify right side
    681.47x = 363,755.71
  5. Step 5: Solve for x
    x = 363,755.71/681.47
  6. Step 6: Final answer
    x = 533.78

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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.