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Finding the Fourth Proportional to 1,597.32, 2,396.15 and 443.07

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Solution

The fourth proportional to 1,597.32, 2,396.15 and 443.07 is: 664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.32 : 2,396.15 = 443.07 : x
  2. Step 2: Convert to fraction form
    1,597.32/2,396.15 = 443.07/x
  3. Step 3: Cross multiply
    1,597.32x = 2,396.15 × 443.07
  4. Step 4: Simplify right side
    1,597.32x = 1,061,659.97
  5. Step 5: Solve for x
    x = 1,061,659.97/1,597.32
  6. Step 6: Final answer
    x = 664.65

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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.