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Finding the Fourth Proportional to 723.44, 1,084.84 and 492.38

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Solution

The fourth proportional to 723.44, 1,084.84 and 492.38 is: 738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.44 : 1,084.84 = 492.38 : x
  2. Step 2: Convert to fraction form
    723.44/1,084.84 = 492.38/x
  3. Step 3: Cross multiply
    723.44x = 1,084.84 × 492.38
  4. Step 4: Simplify right side
    723.44x = 534,153.52
  5. Step 5: Solve for x
    x = 534,153.52/723.44
  6. Step 6: Final answer
    x = 738.36

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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.