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Finding the Fourth Proportional to 668.08, 1,005.83 and 522.62

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Solution

The fourth proportional to 668.08, 1,005.83 and 522.62 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.08 : 1,005.83 = 522.62 : x
  2. Step 2: Convert to fraction form
    668.08/1,005.83 = 522.62/x
  3. Step 3: Cross multiply
    668.08x = 1,005.83 × 522.62
  4. Step 4: Simplify right side
    668.08x = 525,659.23
  5. Step 5: Solve for x
    x = 525,659.23/668.08
  6. Step 6: Final answer
    x = 786.82

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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.