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Finding the Fourth Proportional to 861.67, 1,292.37 and 374.59

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Solution

The fourth proportional to 861.67, 1,292.37 and 374.59 is: 561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.67 : 1,292.37 = 374.59 : x
  2. Step 2: Convert to fraction form
    861.67/1,292.37 = 374.59/x
  3. Step 3: Cross multiply
    861.67x = 1,292.37 × 374.59
  4. Step 4: Simplify right side
    861.67x = 484,108.88
  5. Step 5: Solve for x
    x = 484,108.88/861.67
  6. Step 6: Final answer
    x = 561.83

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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.