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Finding the Fourth Proportional to 1,504.68, 2,257.11 and 682.98

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Solution

The fourth proportional to 1,504.68, 2,257.11 and 682.98 is: 1,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.68 : 2,257.11 = 682.98 : x
  2. Step 2: Convert to fraction form
    1,504.68/2,257.11 = 682.98/x
  3. Step 3: Cross multiply
    1,504.68x = 2,257.11 × 682.98
  4. Step 4: Simplify right side
    1,504.68x = 1,541,560.99
  5. Step 5: Solve for x
    x = 1,541,560.99/1,504.68
  6. Step 6: Final answer
    x = 1,024.51

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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.