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Finding the Fourth Proportional to 1,222.69, 1,834.32 and 400.94

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Solution

The fourth proportional to 1,222.69, 1,834.32 and 400.94 is: 601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.69 : 1,834.32 = 400.94 : x
  2. Step 2: Convert to fraction form
    1,222.69/1,834.32 = 400.94/x
  3. Step 3: Cross multiply
    1,222.69x = 1,834.32 × 400.94
  4. Step 4: Simplify right side
    1,222.69x = 735,452.26
  5. Step 5: Solve for x
    x = 735,452.26/1,222.69
  6. Step 6: Final answer
    x = 601.50

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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.