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Finding the Fourth Proportional to 1,224.59, 1,838.23 and 494.66

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Solution

The fourth proportional to 1,224.59, 1,838.23 and 494.66 is: 742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.59 : 1,838.23 = 494.66 : x
  2. Step 2: Convert to fraction form
    1,224.59/1,838.23 = 494.66/x
  3. Step 3: Cross multiply
    1,224.59x = 1,838.23 × 494.66
  4. Step 4: Simplify right side
    1,224.59x = 909,302.21
  5. Step 5: Solve for x
    x = 909,302.21/1,224.59
  6. Step 6: Final answer
    x = 742.54

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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.