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Finding the Fourth Proportional to 722.38, 1,083.57 and 289.84

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Solution

The fourth proportional to 722.38, 1,083.57 and 289.84 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.38 : 1,083.57 = 289.84 : x
  2. Step 2: Convert to fraction form
    722.38/1,083.57 = 289.84/x
  3. Step 3: Cross multiply
    722.38x = 1,083.57 × 289.84
  4. Step 4: Simplify right side
    722.38x = 314,061.93
  5. Step 5: Solve for x
    x = 314,061.93/722.38
  6. Step 6: Final answer
    x = 434.76

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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.