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Finding the Fourth Proportional to 669.79, 1,004.71 and 207.61

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Solution

The fourth proportional to 669.79, 1,004.71 and 207.61 is: 311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.79 : 1,004.71 = 207.61 : x
  2. Step 2: Convert to fraction form
    669.79/1,004.71 = 207.61/x
  3. Step 3: Cross multiply
    669.79x = 1,004.71 × 207.61
  4. Step 4: Simplify right side
    669.79x = 208,591.00
  5. Step 5: Solve for x
    x = 208,591.00/669.79
  6. Step 6: Final answer
    x = 311.43

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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.