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Finding the Fourth Proportional to 669.32, 1,002.94 and 446.86

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Solution

The fourth proportional to 669.32, 1,002.94 and 446.86 is: 669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 1,002.94 = 446.86 : x
  2. Step 2: Convert to fraction form
    669.32/1,002.94 = 446.86/x
  3. Step 3: Cross multiply
    669.32x = 1,002.94 × 446.86
  4. Step 4: Simplify right side
    669.32x = 448,173.77
  5. Step 5: Solve for x
    x = 448,173.77/669.32
  6. Step 6: Final answer
    x = 669.60

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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.