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Finding the Fourth Proportional to 861.25, 1,291.81 and 600.49

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Solution

The fourth proportional to 861.25, 1,291.81 and 600.49 is: 900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.25 : 1,291.81 = 600.49 : x
  2. Step 2: Convert to fraction form
    861.25/1,291.81 = 600.49/x
  3. Step 3: Cross multiply
    861.25x = 1,291.81 × 600.49
  4. Step 4: Simplify right side
    861.25x = 775,718.99
  5. Step 5: Solve for x
    x = 775,718.99/861.25
  6. Step 6: Final answer
    x = 900.69

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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.