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Finding the Fourth Proportional to 669.64, 1,002.16 and 422.73

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Solution

The fourth proportional to 669.64, 1,002.16 and 422.73 is: 632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 1,002.16 = 422.73 : x
  2. Step 2: Convert to fraction form
    669.64/1,002.16 = 422.73/x
  3. Step 3: Cross multiply
    669.64x = 1,002.16 × 422.73
  4. Step 4: Simplify right side
    669.64x = 423,643.10
  5. Step 5: Solve for x
    x = 423,643.10/669.64
  6. Step 6: Final answer
    x = 632.64

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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.