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Finding the Fourth Proportional to 1,224.97, 1,836.06 and 609.10

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Solution

The fourth proportional to 1,224.97, 1,836.06 and 609.10 is: 912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.97 : 1,836.06 = 609.10 : x
  2. Step 2: Convert to fraction form
    1,224.97/1,836.06 = 609.10/x
  3. Step 3: Cross multiply
    1,224.97x = 1,836.06 × 609.10
  4. Step 4: Simplify right side
    1,224.97x = 1,118,344.15
  5. Step 5: Solve for x
    x = 1,118,344.15/1,224.97
  6. Step 6: Final answer
    x = 912.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.