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Finding the Fourth Proportional to 1,212.12, 1,818.18 and 595.85

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Solution

The fourth proportional to 1,212.12, 1,818.18 and 595.85 is: 893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.12 : 1,818.18 = 595.85 : x
  2. Step 2: Convert to fraction form
    1,212.12/1,818.18 = 595.85/x
  3. Step 3: Cross multiply
    1,212.12x = 1,818.18 × 595.85
  4. Step 4: Simplify right side
    1,212.12x = 1,083,353.46
  5. Step 5: Solve for x
    x = 1,083,353.46/1,212.12
  6. Step 6: Final answer
    x = 893.77

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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.