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Finding the Fourth Proportional to 1,328.21, 1,992.92 and 597.39

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Solution

The fourth proportional to 1,328.21, 1,992.92 and 597.39 is: 896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.21 : 1,992.92 = 597.39 : x
  2. Step 2: Convert to fraction form
    1,328.21/1,992.92 = 597.39/x
  3. Step 3: Cross multiply
    1,328.21x = 1,992.92 × 597.39
  4. Step 4: Simplify right side
    1,328.21x = 1,190,550.48
  5. Step 5: Solve for x
    x = 1,190,550.48/1,328.21
  6. Step 6: Final answer
    x = 896.36

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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.