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Finding the Fourth Proportional to 723.62, 1,084.20 and 290.27

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Solution

The fourth proportional to 723.62, 1,084.20 and 290.27 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 1,084.20 = 290.27 : x
  2. Step 2: Convert to fraction form
    723.62/1,084.20 = 290.27/x
  3. Step 3: Cross multiply
    723.62x = 1,084.20 × 290.27
  4. Step 4: Simplify right side
    723.62x = 314,705.31
  5. Step 5: Solve for x
    x = 314,705.31/723.62
  6. Step 6: Final answer
    x = 434.91

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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.