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Finding the Fourth Proportional to 842.83, 1,161.89 and 593.37

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Solution

The fourth proportional to 842.83, 1,161.89 and 593.37 is: 818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.83 : 1,161.89 = 593.37 : x
  2. Step 2: Convert to fraction form
    842.83/1,161.89 = 593.37/x
  3. Step 3: Cross multiply
    842.83x = 1,161.89 × 593.37
  4. Step 4: Simplify right side
    842.83x = 689,432.15
  5. Step 5: Solve for x
    x = 689,432.15/842.83
  6. Step 6: Final answer
    x = 818.00

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