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Finding the Fourth Proportional to 1,640.96, 2,459.97 and 600.24

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Solution

The fourth proportional to 1,640.96, 2,459.97 and 600.24 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.96 : 2,459.97 = 600.24 : x
  2. Step 2: Convert to fraction form
    1,640.96/2,459.97 = 600.24/x
  3. Step 3: Cross multiply
    1,640.96x = 2,459.97 × 600.24
  4. Step 4: Simplify right side
    1,640.96x = 1,476,572.39
  5. Step 5: Solve for x
    x = 1,476,572.39/1,640.96
  6. Step 6: Final answer
    x = 899.82

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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.