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Finding the Fourth Proportional to 795.63, 1,193.31 and 218.52

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Solution

The fourth proportional to 795.63, 1,193.31 and 218.52 is: 327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.63 : 1,193.31 = 218.52 : x
  2. Step 2: Convert to fraction form
    795.63/1,193.31 = 218.52/x
  3. Step 3: Cross multiply
    795.63x = 1,193.31 × 218.52
  4. Step 4: Simplify right side
    795.63x = 260,762.10
  5. Step 5: Solve for x
    x = 260,762.10/795.63
  6. Step 6: Final answer
    x = 327.74

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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.