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Finding the Fourth Proportional to 1,224.96, 1,838.36 and 494.60

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Solution

The fourth proportional to 1,224.96, 1,838.36 and 494.60 is: 742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.96 : 1,838.36 = 494.60 : x
  2. Step 2: Convert to fraction form
    1,224.96/1,838.36 = 494.60/x
  3. Step 3: Cross multiply
    1,224.96x = 1,838.36 × 494.60
  4. Step 4: Simplify right side
    1,224.96x = 909,252.86
  5. Step 5: Solve for x
    x = 909,252.86/1,224.96
  6. Step 6: Final answer
    x = 742.27

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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.