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Finding the Fourth Proportional to 668.57, 1,002.83 and 551.93

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Solution

The fourth proportional to 668.57, 1,002.83 and 551.93 is: 827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.57 : 1,002.83 = 551.93 : x
  2. Step 2: Convert to fraction form
    668.57/1,002.83 = 551.93/x
  3. Step 3: Cross multiply
    668.57x = 1,002.83 × 551.93
  4. Step 4: Simplify right side
    668.57x = 553,489.20
  5. Step 5: Solve for x
    x = 553,489.20/668.57
  6. Step 6: Final answer
    x = 827.87

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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.