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Finding the Fourth Proportional to 1,072.56, 1,479.72 and 722.64

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Solution

The fourth proportional to 1,072.56, 1,479.72 and 722.64 is: 996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.56 : 1,479.72 = 722.64 : x
  2. Step 2: Convert to fraction form
    1,072.56/1,479.72 = 722.64/x
  3. Step 3: Cross multiply
    1,072.56x = 1,479.72 × 722.64
  4. Step 4: Simplify right side
    1,072.56x = 1,069,304.86
  5. Step 5: Solve for x
    x = 1,069,304.86/1,072.56
  6. Step 6: Final answer
    x = 996.97

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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.