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Finding the Fourth Proportional to 1,222.96, 1,834.37 and 401.12

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Solution

The fourth proportional to 1,222.96, 1,834.37 and 401.12 is: 601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.96 : 1,834.37 = 401.12 : x
  2. Step 2: Convert to fraction form
    1,222.96/1,834.37 = 401.12/x
  3. Step 3: Cross multiply
    1,222.96x = 1,834.37 × 401.12
  4. Step 4: Simplify right side
    1,222.96x = 735,800.49
  5. Step 5: Solve for x
    x = 735,800.49/1,222.96
  6. Step 6: Final answer
    x = 601.66

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Why These Related Problems?

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