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Finding the Fourth Proportional to 669.66, 1,002.96 and 522.27

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Solution

The fourth proportional to 669.66, 1,002.96 and 522.27 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.66 : 1,002.96 = 522.27 : x
  2. Step 2: Convert to fraction form
    669.66/1,002.96 = 522.27/x
  3. Step 3: Cross multiply
    669.66x = 1,002.96 × 522.27
  4. Step 4: Simplify right side
    669.66x = 523,815.92
  5. Step 5: Solve for x
    x = 523,815.92/669.66
  6. Step 6: Final answer
    x = 782.21

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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.