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Finding the Fourth Proportional to 669.78, 1,004.70 and 411.42

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Solution

The fourth proportional to 669.78, 1,004.70 and 411.42 is: 617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.78 : 1,004.70 = 411.42 : x
  2. Step 2: Convert to fraction form
    669.78/1,004.70 = 411.42/x
  3. Step 3: Cross multiply
    669.78x = 1,004.70 × 411.42
  4. Step 4: Simplify right side
    669.78x = 413,353.67
  5. Step 5: Solve for x
    x = 413,353.67/669.78
  6. Step 6: Final answer
    x = 617.15

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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.