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Finding the Fourth Proportional to 1,220.63, 1,683.81 and 778.05

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Solution

The fourth proportional to 1,220.63, 1,683.81 and 778.05 is: 1,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.63 : 1,683.81 = 778.05 : x
  2. Step 2: Convert to fraction form
    1,220.63/1,683.81 = 778.05/x
  3. Step 3: Cross multiply
    1,220.63x = 1,683.81 × 778.05
  4. Step 4: Simplify right side
    1,220.63x = 1,310,088.37
  5. Step 5: Solve for x
    x = 1,310,088.37/1,220.63
  6. Step 6: Final answer
    x = 1,073.29

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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.