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Finding the Fourth Proportional to 1,220.28, 1,683.62 and 754.52

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Solution

The fourth proportional to 1,220.28, 1,683.62 and 754.52 is: 1,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.28 : 1,683.62 = 754.52 : x
  2. Step 2: Convert to fraction form
    1,220.28/1,683.62 = 754.52/x
  3. Step 3: Cross multiply
    1,220.28x = 1,683.62 × 754.52
  4. Step 4: Simplify right side
    1,220.28x = 1,270,324.96
  5. Step 5: Solve for x
    x = 1,270,324.96/1,220.28
  6. Step 6: Final answer
    x = 1,041.01

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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.