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Finding the Fourth Proportional to 1,123.26, 1,683.51 and 506.79

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Solution

The fourth proportional to 1,123.26, 1,683.51 and 506.79 is: 759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.26 : 1,683.51 = 506.79 : x
  2. Step 2: Convert to fraction form
    1,123.26/1,683.51 = 506.79/x
  3. Step 3: Cross multiply
    1,123.26x = 1,683.51 × 506.79
  4. Step 4: Simplify right side
    1,123.26x = 853,186.03
  5. Step 5: Solve for x
    x = 853,186.03/1,123.26
  6. Step 6: Final answer
    x = 759.56

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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.