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Finding the Fourth Proportional to 1,230.17, 1,846.13 and 682.79

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Solution

The fourth proportional to 1,230.17, 1,846.13 and 682.79 is: 1,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.17 : 1,846.13 = 682.79 : x
  2. Step 2: Convert to fraction form
    1,230.17/1,846.13 = 682.79/x
  3. Step 3: Cross multiply
    1,230.17x = 1,846.13 × 682.79
  4. Step 4: Simplify right side
    1,230.17x = 1,260,506.46
  5. Step 5: Solve for x
    x = 1,260,506.46/1,230.17
  6. Step 6: Final answer
    x = 1,024.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.