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Finding the Fourth Proportional to 1,504.96, 2,257.42 and 682.68

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Solution

The fourth proportional to 1,504.96, 2,257.42 and 682.68 is: 1,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.96 : 2,257.42 = 682.68 : x
  2. Step 2: Convert to fraction form
    1,504.96/2,257.42 = 682.68/x
  3. Step 3: Cross multiply
    1,504.96x = 2,257.42 × 682.68
  4. Step 4: Simplify right side
    1,504.96x = 1,541,095.49
  5. Step 5: Solve for x
    x = 1,541,095.49/1,504.96
  6. Step 6: Final answer
    x = 1,024.01

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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.