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Finding the Fourth Proportional to 1,224.23, 1,836.53 and 444.29

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Solution

The fourth proportional to 1,224.23, 1,836.53 and 444.29 is: 666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.23 : 1,836.53 = 444.29 : x
  2. Step 2: Convert to fraction form
    1,224.23/1,836.53 = 444.29/x
  3. Step 3: Cross multiply
    1,224.23x = 1,836.53 × 444.29
  4. Step 4: Simplify right side
    1,224.23x = 815,951.91
  5. Step 5: Solve for x
    x = 815,951.91/1,224.23
  6. Step 6: Final answer
    x = 666.50

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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.