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Finding the Fourth Proportional to 861.02, 1,291.22 and 313.06

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Solution

The fourth proportional to 861.02, 1,291.22 and 313.06 is: 469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.02 : 1,291.22 = 313.06 : x
  2. Step 2: Convert to fraction form
    861.02/1,291.22 = 313.06/x
  3. Step 3: Cross multiply
    861.02x = 1,291.22 × 313.06
  4. Step 4: Simplify right side
    861.02x = 404,229.33
  5. Step 5: Solve for x
    x = 404,229.33/861.02
  6. Step 6: Final answer
    x = 469.48

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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.