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Finding the Fourth Proportional to 1,072.72, 1,478.28 and 722.80

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Solution

The fourth proportional to 1,072.72, 1,478.28 and 722.80 is: 996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.72 : 1,478.28 = 722.80 : x
  2. Step 2: Convert to fraction form
    1,072.72/1,478.28 = 722.80/x
  3. Step 3: Cross multiply
    1,072.72x = 1,478.28 × 722.80
  4. Step 4: Simplify right side
    1,072.72x = 1,068,500.78
  5. Step 5: Solve for x
    x = 1,068,500.78/1,072.72
  6. Step 6: Final answer
    x = 996.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.