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Finding the Fourth Proportional to 1,245.62, 1,867.98 and 412.53

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Solution

The fourth proportional to 1,245.62, 1,867.98 and 412.53 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.62 : 1,867.98 = 412.53 : x
  2. Step 2: Convert to fraction form
    1,245.62/1,867.98 = 412.53/x
  3. Step 3: Cross multiply
    1,245.62x = 1,867.98 × 412.53
  4. Step 4: Simplify right side
    1,245.62x = 770,597.79
  5. Step 5: Solve for x
    x = 770,597.79/1,245.62
  6. Step 6: Final answer
    x = 618.65

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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.