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Finding the Fourth Proportional to 721.98, 1,083.06 and 288.90

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Solution

The fourth proportional to 721.98, 1,083.06 and 288.90 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,083.06 = 288.90 : x
  2. Step 2: Convert to fraction form
    721.98/1,083.06 = 288.90/x
  3. Step 3: Cross multiply
    721.98x = 1,083.06 × 288.90
  4. Step 4: Simplify right side
    721.98x = 312,896.03
  5. Step 5: Solve for x
    x = 312,896.03/721.98
  6. Step 6: Final answer
    x = 433.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.