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Finding the Fourth Proportional to 661.14, 996.26 and 548.14

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Solution

The fourth proportional to 661.14, 996.26 and 548.14 is: 825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.14 : 996.26 = 548.14 : x
  2. Step 2: Convert to fraction form
    661.14/996.26 = 548.14/x
  3. Step 3: Cross multiply
    661.14x = 996.26 × 548.14
  4. Step 4: Simplify right side
    661.14x = 546,089.96
  5. Step 5: Solve for x
    x = 546,089.96/661.14
  6. Step 6: Final answer
    x = 825.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.