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Finding the Fourth Proportional to 1,222.46, 1,834.23 and 493.46

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Solution

The fourth proportional to 1,222.46, 1,834.23 and 493.46 is: 740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.46 : 1,834.23 = 493.46 : x
  2. Step 2: Convert to fraction form
    1,222.46/1,834.23 = 493.46/x
  3. Step 3: Cross multiply
    1,222.46x = 1,834.23 × 493.46
  4. Step 4: Simplify right side
    1,222.46x = 905,125.57
  5. Step 5: Solve for x
    x = 905,125.57/1,222.46
  6. Step 6: Final answer
    x = 740.41

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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.