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Finding the Fourth Proportional to 1,224.04, 1,835.96 and 402.30

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Solution

The fourth proportional to 1,224.04, 1,835.96 and 402.30 is: 603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.04 : 1,835.96 = 402.30 : x
  2. Step 2: Convert to fraction form
    1,224.04/1,835.96 = 402.30/x
  3. Step 3: Cross multiply
    1,224.04x = 1,835.96 × 402.30
  4. Step 4: Simplify right side
    1,224.04x = 738,606.71
  5. Step 5: Solve for x
    x = 738,606.71/1,224.04
  6. Step 6: Final answer
    x = 603.42

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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.