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Finding the Fourth Proportional to 723.78, 1,084.65 and 290.43

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Solution

The fourth proportional to 723.78, 1,084.65 and 290.43 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.78 : 1,084.65 = 290.43 : x
  2. Step 2: Convert to fraction form
    723.78/1,084.65 = 290.43/x
  3. Step 3: Cross multiply
    723.78x = 1,084.65 × 290.43
  4. Step 4: Simplify right side
    723.78x = 315,014.90
  5. Step 5: Solve for x
    x = 315,014.90/723.78
  6. Step 6: Final answer
    x = 435.24

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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.