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Finding the Fourth Proportional to 653.38, 899.22 and 600.94

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Solution

The fourth proportional to 653.38, 899.22 and 600.94 is: 827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 899.22 = 600.94 : x
  2. Step 2: Convert to fraction form
    653.38/899.22 = 600.94/x
  3. Step 3: Cross multiply
    653.38x = 899.22 × 600.94
  4. Step 4: Simplify right side
    653.38x = 540,377.27
  5. Step 5: Solve for x
    x = 540,377.27/653.38
  6. Step 6: Final answer
    x = 827.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.