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Finding the Fourth Proportional to 1,234.02, 1,849.59 and 685.38

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Solution

The fourth proportional to 1,234.02, 1,849.59 and 685.38 is: 1,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.02 : 1,849.59 = 685.38 : x
  2. Step 2: Convert to fraction form
    1,234.02/1,849.59 = 685.38/x
  3. Step 3: Cross multiply
    1,234.02x = 1,849.59 × 685.38
  4. Step 4: Simplify right side
    1,234.02x = 1,267,671.99
  5. Step 5: Solve for x
    x = 1,267,671.99/1,234.02
  6. Step 6: Final answer
    x = 1,027.27

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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.