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Finding the Fourth Proportional to 1,597.25, 2,396.02 and 443.01

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Solution

The fourth proportional to 1,597.25, 2,396.02 and 443.01 is: 664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.25 : 2,396.02 = 443.01 : x
  2. Step 2: Convert to fraction form
    1,597.25/2,396.02 = 443.01/x
  3. Step 3: Cross multiply
    1,597.25x = 2,396.02 × 443.01
  4. Step 4: Simplify right side
    1,597.25x = 1,061,458.61
  5. Step 5: Solve for x
    x = 1,061,458.61/1,597.25
  6. Step 6: Final answer
    x = 664.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.