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Finding the Fourth Proportional to 722.44, 1,084.13 and 289.63

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Solution

The fourth proportional to 722.44, 1,084.13 and 289.63 is: 434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 1,084.13 = 289.63 : x
  2. Step 2: Convert to fraction form
    722.44/1,084.13 = 289.63/x
  3. Step 3: Cross multiply
    722.44x = 1,084.13 × 289.63
  4. Step 4: Simplify right side
    722.44x = 313,989.70
  5. Step 5: Solve for x
    x = 313,989.70/722.44
  6. Step 6: Final answer
    x = 434.63

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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.