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Finding the Fourth Proportional to 723.58, 1,084.94 and 410.73

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Solution

The fourth proportional to 723.58, 1,084.94 and 410.73 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.58 : 1,084.94 = 410.73 : x
  2. Step 2: Convert to fraction form
    723.58/1,084.94 = 410.73/x
  3. Step 3: Cross multiply
    723.58x = 1,084.94 × 410.73
  4. Step 4: Simplify right side
    723.58x = 445,616.89
  5. Step 5: Solve for x
    x = 445,616.89/723.58
  6. Step 6: Final answer
    x = 615.85

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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.