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Finding the Fourth Proportional to 1,474.46, 2,211.19 and 596.73

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Solution

The fourth proportional to 1,474.46, 2,211.19 and 596.73 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.46 : 2,211.19 = 596.73 : x
  2. Step 2: Convert to fraction form
    1,474.46/2,211.19 = 596.73/x
  3. Step 3: Cross multiply
    1,474.46x = 2,211.19 × 596.73
  4. Step 4: Simplify right side
    1,474.46x = 1,319,483.41
  5. Step 5: Solve for x
    x = 1,319,483.41/1,474.46
  6. Step 6: Final answer
    x = 894.89

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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.