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Finding the Fourth Proportional to 1,218.37, 1,826.42 and 593.29

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Solution

The fourth proportional to 1,218.37, 1,826.42 and 593.29 is: 889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.37 : 1,826.42 = 593.29 : x
  2. Step 2: Convert to fraction form
    1,218.37/1,826.42 = 593.29/x
  3. Step 3: Cross multiply
    1,218.37x = 1,826.42 × 593.29
  4. Step 4: Simplify right side
    1,218.37x = 1,083,596.72
  5. Step 5: Solve for x
    x = 1,083,596.72/1,218.37
  6. Step 6: Final answer
    x = 889.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.