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Finding the Fourth Proportional to 1,232.34, 1,848.43 and 682.82

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Solution

The fourth proportional to 1,232.34, 1,848.43 and 682.82 is: 1,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.34 : 1,848.43 = 682.82 : x
  2. Step 2: Convert to fraction form
    1,232.34/1,848.43 = 682.82/x
  3. Step 3: Cross multiply
    1,232.34x = 1,848.43 × 682.82
  4. Step 4: Simplify right side
    1,232.34x = 1,262,144.97
  5. Step 5: Solve for x
    x = 1,262,144.97/1,232.34
  6. Step 6: Final answer
    x = 1,024.19

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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.