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Finding the Fourth Proportional to 723.62, 1,084.62 and 665.23

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Solution

The fourth proportional to 723.62, 1,084.62 and 665.23 is: 997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 1,084.62 = 665.23 : x
  2. Step 2: Convert to fraction form
    723.62/1,084.62 = 665.23/x
  3. Step 3: Cross multiply
    723.62x = 1,084.62 × 665.23
  4. Step 4: Simplify right side
    723.62x = 721,521.76
  5. Step 5: Solve for x
    x = 721,521.76/723.62
  6. Step 6: Final answer
    x = 997.10

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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.