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Finding the Fourth Proportional to 1,219.73, 1,683.36 and 747.94

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Solution

The fourth proportional to 1,219.73, 1,683.36 and 747.94 is: 1,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.73 : 1,683.36 = 747.94 : x
  2. Step 2: Convert to fraction form
    1,219.73/1,683.36 = 747.94/x
  3. Step 3: Cross multiply
    1,219.73x = 1,683.36 × 747.94
  4. Step 4: Simplify right side
    1,219.73x = 1,259,043.86
  5. Step 5: Solve for x
    x = 1,259,043.86/1,219.73
  6. Step 6: Final answer
    x = 1,032.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.