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Finding the Fourth Proportional to 1,679.26, 2,518.86 and 446.64

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Solution

The fourth proportional to 1,679.26, 2,518.86 and 446.64 is: 669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.26 : 2,518.86 = 446.64 : x
  2. Step 2: Convert to fraction form
    1,679.26/2,518.86 = 446.64/x
  3. Step 3: Cross multiply
    1,679.26x = 2,518.86 × 446.64
  4. Step 4: Simplify right side
    1,679.26x = 1,125,023.63
  5. Step 5: Solve for x
    x = 1,125,023.63/1,679.26
  6. Step 6: Final answer
    x = 669.95

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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.