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Finding the Fourth Proportional to 1,083.50, 1,614.06 and 1,016.27

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Solution

The fourth proportional to 1,083.50, 1,614.06 and 1,016.27 is: 1,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.50 : 1,614.06 = 1,016.27 : x
  2. Step 2: Convert to fraction form
    1,083.50/1,614.06 = 1,016.27/x
  3. Step 3: Cross multiply
    1,083.50x = 1,614.06 × 1,016.27
  4. Step 4: Simplify right side
    1,083.50x = 1,640,320.76
  5. Step 5: Solve for x
    x = 1,640,320.76/1,083.50
  6. Step 6: Final answer
    x = 1,513.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.