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Finding the Fourth Proportional to 1,222.74, 1,834.56 and 492.53

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Solution

The fourth proportional to 1,222.74, 1,834.56 and 492.53 is: 738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.74 : 1,834.56 = 492.53 : x
  2. Step 2: Convert to fraction form
    1,222.74/1,834.56 = 492.53/x
  3. Step 3: Cross multiply
    1,222.74x = 1,834.56 × 492.53
  4. Step 4: Simplify right side
    1,222.74x = 903,566.66
  5. Step 5: Solve for x
    x = 903,566.66/1,222.74
  6. Step 6: Final answer
    x = 738.97

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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.