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Finding the Fourth Proportional to 1,679.23, 2,518.61 and 446.75

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Solution

The fourth proportional to 1,679.23, 2,518.61 and 446.75 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.23 : 2,518.61 = 446.75 : x
  2. Step 2: Convert to fraction form
    1,679.23/2,518.61 = 446.75/x
  3. Step 3: Cross multiply
    1,679.23x = 2,518.61 × 446.75
  4. Step 4: Simplify right side
    1,679.23x = 1,125,189.02
  5. Step 5: Solve for x
    x = 1,125,189.02/1,679.23
  6. Step 6: Final answer
    x = 670.06

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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.