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Finding the Fourth Proportional to 1,225.04, 1,837.44 and 403.72

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Solution

The fourth proportional to 1,225.04, 1,837.44 and 403.72 is: 605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.04 : 1,837.44 = 403.72 : x
  2. Step 2: Convert to fraction form
    1,225.04/1,837.44 = 403.72/x
  3. Step 3: Cross multiply
    1,225.04x = 1,837.44 × 403.72
  4. Step 4: Simplify right side
    1,225.04x = 741,811.28
  5. Step 5: Solve for x
    x = 741,811.28/1,225.04
  6. Step 6: Final answer
    x = 605.54

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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.