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Finding the Fourth Proportional to 1,224.21, 1,835.63 and 402.27

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Solution

The fourth proportional to 1,224.21, 1,835.63 and 402.27 is: 603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.21 : 1,835.63 = 402.27 : x
  2. Step 2: Convert to fraction form
    1,224.21/1,835.63 = 402.27/x
  3. Step 3: Cross multiply
    1,224.21x = 1,835.63 × 402.27
  4. Step 4: Simplify right side
    1,224.21x = 738,411.49
  5. Step 5: Solve for x
    x = 738,411.49/1,224.21
  6. Step 6: Final answer
    x = 603.17

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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.