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Finding the Fourth Proportional to 1,224.34, 1,837.42 and 493.92

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Solution

The fourth proportional to 1,224.34, 1,837.42 and 493.92 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.34 : 1,837.42 = 493.92 : x
  2. Step 2: Convert to fraction form
    1,224.34/1,837.42 = 493.92/x
  3. Step 3: Cross multiply
    1,224.34x = 1,837.42 × 493.92
  4. Step 4: Simplify right side
    1,224.34x = 907,537.25
  5. Step 5: Solve for x
    x = 907,537.25/1,224.34
  6. Step 6: Final answer
    x = 741.25

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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.