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Finding the Fourth Proportional to 1,212.30, 1,818.45 and 596.43

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Solution

The fourth proportional to 1,212.30, 1,818.45 and 596.43 is: 894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.30 : 1,818.45 = 596.43 : x
  2. Step 2: Convert to fraction form
    1,212.30/1,818.45 = 596.43/x
  3. Step 3: Cross multiply
    1,212.30x = 1,818.45 × 596.43
  4. Step 4: Simplify right side
    1,212.30x = 1,084,578.13
  5. Step 5: Solve for x
    x = 1,084,578.13/1,212.30
  6. Step 6: Final answer
    x = 894.65

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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.