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Finding the Fourth Proportional to 1,122.39, 1,683.59 and 506.28

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Solution

The fourth proportional to 1,122.39, 1,683.59 and 506.28 is: 759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.39 : 1,683.59 = 506.28 : x
  2. Step 2: Convert to fraction form
    1,122.39/1,683.59 = 506.28/x
  3. Step 3: Cross multiply
    1,122.39x = 1,683.59 × 506.28
  4. Step 4: Simplify right side
    1,122.39x = 852,360.73
  5. Step 5: Solve for x
    x = 852,360.73/1,122.39
  6. Step 6: Final answer
    x = 759.41

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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.