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Finding the Fourth Proportional to 1,122.70, 1,683.08 and 712.02

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Solution

The fourth proportional to 1,122.70, 1,683.08 and 712.02 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.70 : 1,683.08 = 712.02 : x
  2. Step 2: Convert to fraction form
    1,122.70/1,683.08 = 712.02/x
  3. Step 3: Cross multiply
    1,122.70x = 1,683.08 × 712.02
  4. Step 4: Simplify right side
    1,122.70x = 1,198,386.62
  5. Step 5: Solve for x
    x = 1,198,386.62/1,122.70
  6. Step 6: Final answer
    x = 1,067.41

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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.