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Finding the Fourth Proportional to 681.48, 1,024.52 and 546.21

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Solution

The fourth proportional to 681.48, 1,024.52 and 546.21 is: 821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 1,024.52 = 546.21 : x
  2. Step 2: Convert to fraction form
    681.48/1,024.52 = 546.21/x
  3. Step 3: Cross multiply
    681.48x = 1,024.52 × 546.21
  4. Step 4: Simplify right side
    681.48x = 559,600.34
  5. Step 5: Solve for x
    x = 559,600.34/681.48
  6. Step 6: Final answer
    x = 821.15

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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.