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Finding the Fourth Proportional to 722.79, 1,084.73 and 580.23

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Solution

The fourth proportional to 722.79, 1,084.73 and 580.23 is: 870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.79 : 1,084.73 = 580.23 : x
  2. Step 2: Convert to fraction form
    722.79/1,084.73 = 580.23/x
  3. Step 3: Cross multiply
    722.79x = 1,084.73 × 580.23
  4. Step 4: Simplify right side
    722.79x = 629,389.99
  5. Step 5: Solve for x
    x = 629,389.99/722.79
  6. Step 6: Final answer
    x = 870.78

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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.