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Finding the Fourth Proportional to 667.64, 1,006.02 and 548.57

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Solution

The fourth proportional to 667.64, 1,006.02 and 548.57 is: 826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 1,006.02 = 548.57 : x
  2. Step 2: Convert to fraction form
    667.64/1,006.02 = 548.57/x
  3. Step 3: Cross multiply
    667.64x = 1,006.02 × 548.57
  4. Step 4: Simplify right side
    667.64x = 551,874.91
  5. Step 5: Solve for x
    x = 551,874.91/667.64
  6. Step 6: Final answer
    x = 826.60

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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.