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Finding the Fourth Proportional to 681.84, 1,021.80 and 510.96

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Solution

The fourth proportional to 681.84, 1,021.80 and 510.96 is: 765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 1,021.80 = 510.96 : x
  2. Step 2: Convert to fraction form
    681.84/1,021.80 = 510.96/x
  3. Step 3: Cross multiply
    681.84x = 1,021.80 × 510.96
  4. Step 4: Simplify right side
    681.84x = 522,098.93
  5. Step 5: Solve for x
    x = 522,098.93/681.84
  6. Step 6: Final answer
    x = 765.72

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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.