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Finding the Fourth Proportional to 899.24, 1,350.12 and 460.80

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Solution

The fourth proportional to 899.24, 1,350.12 and 460.80 is: 691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.24 : 1,350.12 = 460.80 : x
  2. Step 2: Convert to fraction form
    899.24/1,350.12 = 460.80/x
  3. Step 3: Cross multiply
    899.24x = 1,350.12 × 460.80
  4. Step 4: Simplify right side
    899.24x = 622,135.30
  5. Step 5: Solve for x
    x = 622,135.30/899.24
  6. Step 6: Final answer
    x = 691.85

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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.