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Finding the Fourth Proportional to 1,220.45, 1,683.83 and 747.86

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Solution

The fourth proportional to 1,220.45, 1,683.83 and 747.86 is: 1,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.45 : 1,683.83 = 747.86 : x
  2. Step 2: Convert to fraction form
    1,220.45/1,683.83 = 747.86/x
  3. Step 3: Cross multiply
    1,220.45x = 1,683.83 × 747.86
  4. Step 4: Simplify right side
    1,220.45x = 1,259,262.55
  5. Step 5: Solve for x
    x = 1,259,262.55/1,220.45
  6. Step 6: Final answer
    x = 1,031.81

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