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Finding the Fourth Proportional to 681.32, 1,022.94 and 521

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Solution

The fourth proportional to 681.32, 1,022.94 and 521 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.32 : 1,022.94 = 521 : x
  2. Step 2: Convert to fraction form
    681.32/1,022.94 = 521/x
  3. Step 3: Cross multiply
    681.32x = 1,022.94 × 521
  4. Step 4: Simplify right side
    681.32x = 532,951.74
  5. Step 5: Solve for x
    x = 532,951.74/681.32
  6. Step 6: Final answer
    x = 782.23

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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.