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Finding the Fourth Proportional to 1,122.27, 1,683.60 and 506.26

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Solution

The fourth proportional to 1,122.27, 1,683.60 and 506.26 is: 759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.27 : 1,683.60 = 506.26 : x
  2. Step 2: Convert to fraction form
    1,122.27/1,683.60 = 506.26/x
  3. Step 3: Cross multiply
    1,122.27x = 1,683.60 × 506.26
  4. Step 4: Simplify right side
    1,122.27x = 852,339.34
  5. Step 5: Solve for x
    x = 852,339.34/1,122.27
  6. Step 6: Final answer
    x = 759.48

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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.