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Finding the Fourth Proportional to 1,234.23, 1,851.69 and 617.76

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Solution

The fourth proportional to 1,234.23, 1,851.69 and 617.76 is: 926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.23 : 1,851.69 = 617.76 : x
  2. Step 2: Convert to fraction form
    1,234.23/1,851.69 = 617.76/x
  3. Step 3: Cross multiply
    1,234.23x = 1,851.69 × 617.76
  4. Step 4: Simplify right side
    1,234.23x = 1,143,900.01
  5. Step 5: Solve for x
    x = 1,143,900.01/1,234.23
  6. Step 6: Final answer
    x = 926.81

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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.