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Finding the Fourth Proportional to 722.00, 1,081.17 and 478.80

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Solution

The fourth proportional to 722.00, 1,081.17 and 478.80 is: 716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.00 : 1,081.17 = 478.80 : x
  2. Step 2: Convert to fraction form
    722.00/1,081.17 = 478.80/x
  3. Step 3: Cross multiply
    722.00x = 1,081.17 × 478.80
  4. Step 4: Simplify right side
    722.00x = 517,664.20
  5. Step 5: Solve for x
    x = 517,664.20/722.00
  6. Step 6: Final answer
    x = 716.99

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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.