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Finding the Fourth Proportional to 1,225.21, 1,837.76 and 300.71

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Solution

The fourth proportional to 1,225.21, 1,837.76 and 300.71 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.21 : 1,837.76 = 300.71 : x
  2. Step 2: Convert to fraction form
    1,225.21/1,837.76 = 300.71/x
  3. Step 3: Cross multiply
    1,225.21x = 1,837.76 × 300.71
  4. Step 4: Simplify right side
    1,225.21x = 552,635.90
  5. Step 5: Solve for x
    x = 552,635.90/1,225.21
  6. Step 6: Final answer
    x = 451.05

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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.