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Finding the Fourth Proportional to 669.59, 1,003.97 and 207.24

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Solution

The fourth proportional to 669.59, 1,003.97 and 207.24 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.59 : 1,003.97 = 207.24 : x
  2. Step 2: Convert to fraction form
    669.59/1,003.97 = 207.24/x
  3. Step 3: Cross multiply
    669.59x = 1,003.97 × 207.24
  4. Step 4: Simplify right side
    669.59x = 208,056.69
  5. Step 5: Solve for x
    x = 208,056.69/669.59
  6. Step 6: Final answer
    x = 310.72

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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.