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Finding the Fourth Proportional to 1,222.42, 1,834.22 and 606.18

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Solution

The fourth proportional to 1,222.42, 1,834.22 and 606.18 is: 909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.42 : 1,834.22 = 606.18 : x
  2. Step 2: Convert to fraction form
    1,222.42/1,834.22 = 606.18/x
  3. Step 3: Cross multiply
    1,222.42x = 1,834.22 × 606.18
  4. Step 4: Simplify right side
    1,222.42x = 1,111,867.48
  5. Step 5: Solve for x
    x = 1,111,867.48/1,222.42
  6. Step 6: Final answer
    x = 909.56

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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.