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Finding the Fourth Proportional to 1,222.95, 1,834.77 and 493.02

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Solution

The fourth proportional to 1,222.95, 1,834.77 and 493.02 is: 739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.95 : 1,834.77 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,222.95/1,834.77 = 493.02/x
  3. Step 3: Cross multiply
    1,222.95x = 1,834.77 × 493.02
  4. Step 4: Simplify right side
    1,222.95x = 904,578.31
  5. Step 5: Solve for x
    x = 904,578.31/1,222.95
  6. Step 6: Final answer
    x = 739.67

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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.