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Finding the Fourth Proportional to 1,683.29, 2,524.41 and 642.53

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Solution

The fourth proportional to 1,683.29, 2,524.41 and 642.53 is: 963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.29 : 2,524.41 = 642.53 : x
  2. Step 2: Convert to fraction form
    1,683.29/2,524.41 = 642.53/x
  3. Step 3: Cross multiply
    1,683.29x = 2,524.41 × 642.53
  4. Step 4: Simplify right side
    1,683.29x = 1,621,996.54
  5. Step 5: Solve for x
    x = 1,621,996.54/1,683.29
  6. Step 6: Final answer
    x = 963.59

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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.