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Finding the Fourth Proportional to 1,225.25, 1,837.92 and 445.43

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Solution

The fourth proportional to 1,225.25, 1,837.92 and 445.43 is: 668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.25 : 1,837.92 = 445.43 : x
  2. Step 2: Convert to fraction form
    1,225.25/1,837.92 = 445.43/x
  3. Step 3: Cross multiply
    1,225.25x = 1,837.92 × 445.43
  4. Step 4: Simplify right side
    1,225.25x = 818,655.52
  5. Step 5: Solve for x
    x = 818,655.52/1,225.25
  6. Step 6: Final answer
    x = 668.16

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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.