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Finding the Fourth Proportional to 861.06, 1,292.25 and 450.33

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Solution

The fourth proportional to 861.06, 1,292.25 and 450.33 is: 675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.06 : 1,292.25 = 450.33 : x
  2. Step 2: Convert to fraction form
    861.06/1,292.25 = 450.33/x
  3. Step 3: Cross multiply
    861.06x = 1,292.25 × 450.33
  4. Step 4: Simplify right side
    861.06x = 581,935.79
  5. Step 5: Solve for x
    x = 581,935.79/861.06
  6. Step 6: Final answer
    x = 675.83

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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.