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Finding the Fourth Proportional to 669.46, 1,002.83 and 546.50

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Solution

The fourth proportional to 669.46, 1,002.83 and 546.50 is: 818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.46 : 1,002.83 = 546.50 : x
  2. Step 2: Convert to fraction form
    669.46/1,002.83 = 546.50/x
  3. Step 3: Cross multiply
    669.46x = 1,002.83 × 546.50
  4. Step 4: Simplify right side
    669.46x = 548,046.60
  5. Step 5: Solve for x
    x = 548,046.60/669.46
  6. Step 6: Final answer
    x = 818.64

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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.