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Finding the Fourth Proportional to 669.34, 1,002.64 and 546.38

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Solution

The fourth proportional to 669.34, 1,002.64 and 546.38 is: 818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.34 : 1,002.64 = 546.38 : x
  2. Step 2: Convert to fraction form
    669.34/1,002.64 = 546.38/x
  3. Step 3: Cross multiply
    669.34x = 1,002.64 × 546.38
  4. Step 4: Simplify right side
    669.34x = 547,817.43
  5. Step 5: Solve for x
    x = 547,817.43/669.34
  6. Step 6: Final answer
    x = 818.45

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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.