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Finding the Fourth Proportional to 1,219.86, 1,683.18 and 722.52

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Solution

The fourth proportional to 1,219.86, 1,683.18 and 722.52 is: 996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.86 : 1,683.18 = 722.52 : x
  2. Step 2: Convert to fraction form
    1,219.86/1,683.18 = 722.52/x
  3. Step 3: Cross multiply
    1,219.86x = 1,683.18 × 722.52
  4. Step 4: Simplify right side
    1,219.86x = 1,216,131.21
  5. Step 5: Solve for x
    x = 1,216,131.21/1,219.86
  6. Step 6: Final answer
    x = 996.94

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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.