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Finding the Fourth Proportional to 1,122.26, 1,683.63 and 342.19

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Solution

The fourth proportional to 1,122.26, 1,683.63 and 342.19 is: 513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.26 : 1,683.63 = 342.19 : x
  2. Step 2: Convert to fraction form
    1,122.26/1,683.63 = 342.19/x
  3. Step 3: Cross multiply
    1,122.26x = 1,683.63 × 342.19
  4. Step 4: Simplify right side
    1,122.26x = 576,121.35
  5. Step 5: Solve for x
    x = 576,121.35/1,122.26
  6. Step 6: Final answer
    x = 513.36

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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.