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Finding the Fourth Proportional to 1,232.74, 1,848.49 and 685.30

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Solution

The fourth proportional to 1,232.74, 1,848.49 and 685.30 is: 1,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.74 : 1,848.49 = 685.30 : x
  2. Step 2: Convert to fraction form
    1,232.74/1,848.49 = 685.30/x
  3. Step 3: Cross multiply
    1,232.74x = 1,848.49 × 685.30
  4. Step 4: Simplify right side
    1,232.74x = 1,266,770.20
  5. Step 5: Solve for x
    x = 1,266,770.20/1,232.74
  6. Step 6: Final answer
    x = 1,027.61

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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.