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Finding the Fourth Proportional to 723.23, 1,084.64 and 203.20

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Solution

The fourth proportional to 723.23, 1,084.64 and 203.20 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.23 : 1,084.64 = 203.20 : x
  2. Step 2: Convert to fraction form
    723.23/1,084.64 = 203.20/x
  3. Step 3: Cross multiply
    723.23x = 1,084.64 × 203.20
  4. Step 4: Simplify right side
    723.23x = 220,393.42
  5. Step 5: Solve for x
    x = 220,393.42/723.23
  6. Step 6: Final answer
    x = 304.74

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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.