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Finding the Fourth Proportional to 1,122.49, 1,683.87 and 382.22

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Solution

The fourth proportional to 1,122.49, 1,683.87 and 382.22 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.49 : 1,683.87 = 382.22 : x
  2. Step 2: Convert to fraction form
    1,122.49/1,683.87 = 382.22/x
  3. Step 3: Cross multiply
    1,122.49x = 1,683.87 × 382.22
  4. Step 4: Simplify right side
    1,122.49x = 643,608.79
  5. Step 5: Solve for x
    x = 643,608.79/1,122.49
  6. Step 6: Final answer
    x = 573.38

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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.