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Finding the Fourth Proportional to 723.22, 1,083.87 and 290.14

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Solution

The fourth proportional to 723.22, 1,083.87 and 290.14 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.22 : 1,083.87 = 290.14 : x
  2. Step 2: Convert to fraction form
    723.22/1,083.87 = 290.14/x
  3. Step 3: Cross multiply
    723.22x = 1,083.87 × 290.14
  4. Step 4: Simplify right side
    723.22x = 314,474.04
  5. Step 5: Solve for x
    x = 314,474.04/723.22
  6. Step 6: Final answer
    x = 434.82

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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.