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Finding the Fourth Proportional to 1,122.81, 1,683.06 and 506.95

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Solution

The fourth proportional to 1,122.81, 1,683.06 and 506.95 is: 759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.81 : 1,683.06 = 506.95 : x
  2. Step 2: Convert to fraction form
    1,122.81/1,683.06 = 506.95/x
  3. Step 3: Cross multiply
    1,122.81x = 1,683.06 × 506.95
  4. Step 4: Simplify right side
    1,122.81x = 853,224.96
  5. Step 5: Solve for x
    x = 853,224.96/1,122.81
  6. Step 6: Final answer
    x = 759.90

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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.