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Finding the Fourth Proportional to 1,225.09, 1,837.17 and 403.21

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Solution

The fourth proportional to 1,225.09, 1,837.17 and 403.21 is: 604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.09 : 1,837.17 = 403.21 : x
  2. Step 2: Convert to fraction form
    1,225.09/1,837.17 = 403.21/x
  3. Step 3: Cross multiply
    1,225.09x = 1,837.17 × 403.21
  4. Step 4: Simplify right side
    1,225.09x = 740,765.32
  5. Step 5: Solve for x
    x = 740,765.32/1,225.09
  6. Step 6: Final answer
    x = 604.66

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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.