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Finding the Fourth Proportional to 1,222.45, 1,834.72 and 492.55

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Solution

The fourth proportional to 1,222.45, 1,834.72 and 492.55 is: 739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.45 : 1,834.72 = 492.55 : x
  2. Step 2: Convert to fraction form
    1,222.45/1,834.72 = 492.55/x
  3. Step 3: Cross multiply
    1,222.45x = 1,834.72 × 492.55
  4. Step 4: Simplify right side
    1,222.45x = 903,685.52
  5. Step 5: Solve for x
    x = 903,685.52/1,222.45
  6. Step 6: Final answer
    x = 739.24

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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.