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Finding the Fourth Proportional to 1,220.07, 1,683.12 and 800.25

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Solution

The fourth proportional to 1,220.07, 1,683.12 and 800.25 is: 1,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,683.12 = 800.25 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,683.12 = 800.25/x
  3. Step 3: Cross multiply
    1,220.07x = 1,683.12 × 800.25
  4. Step 4: Simplify right side
    1,220.07x = 1,346,916.78
  5. Step 5: Solve for x
    x = 1,346,916.78/1,220.07
  6. Step 6: Final answer
    x = 1,103.97

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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.