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Finding the Fourth Proportional to 1,224.67, 1,837.41 and 493.84

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Solution

The fourth proportional to 1,224.67, 1,837.41 and 493.84 is: 740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.67 : 1,837.41 = 493.84 : x
  2. Step 2: Convert to fraction form
    1,224.67/1,837.41 = 493.84/x
  3. Step 3: Cross multiply
    1,224.67x = 1,837.41 × 493.84
  4. Step 4: Simplify right side
    1,224.67x = 907,386.55
  5. Step 5: Solve for x
    x = 907,386.55/1,224.67
  6. Step 6: Final answer
    x = 740.92

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