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Finding the Fourth Proportional to 668.46, 1,001.22 and 551.58

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Solution

The fourth proportional to 668.46, 1,001.22 and 551.58 is: 826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.46 : 1,001.22 = 551.58 : x
  2. Step 2: Convert to fraction form
    668.46/1,001.22 = 551.58/x
  3. Step 3: Cross multiply
    668.46x = 1,001.22 × 551.58
  4. Step 4: Simplify right side
    668.46x = 552,252.93
  5. Step 5: Solve for x
    x = 552,252.93/668.46
  6. Step 6: Final answer
    x = 826.16

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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.