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Finding the Fourth Proportional to 1,122.28, 1,683.46 and 392.37

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Solution

The fourth proportional to 1,122.28, 1,683.46 and 392.37 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.28 : 1,683.46 = 392.37 : x
  2. Step 2: Convert to fraction form
    1,122.28/1,683.46 = 392.37/x
  3. Step 3: Cross multiply
    1,122.28x = 1,683.46 × 392.37
  4. Step 4: Simplify right side
    1,122.28x = 660,537.01
  5. Step 5: Solve for x
    x = 660,537.01/1,122.28
  6. Step 6: Final answer
    x = 588.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.