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Finding the Fourth Proportional to 1,328.60, 1,992.30 and 597.80

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Solution

The fourth proportional to 1,328.60, 1,992.30 and 597.80 is: 896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.60 : 1,992.30 = 597.80 : x
  2. Step 2: Convert to fraction form
    1,328.60/1,992.30 = 597.80/x
  3. Step 3: Cross multiply
    1,328.60x = 1,992.30 × 597.80
  4. Step 4: Simplify right side
    1,328.60x = 1,190,996.94
  5. Step 5: Solve for x
    x = 1,190,996.94/1,328.60
  6. Step 6: Final answer
    x = 896.43

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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.