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Finding the Fourth Proportional to 1,072.76, 1,479.48 and 722.84

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Solution

The fourth proportional to 1,072.76, 1,479.48 and 722.84 is: 996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.76 : 1,479.48 = 722.84 : x
  2. Step 2: Convert to fraction form
    1,072.76/1,479.48 = 722.84/x
  3. Step 3: Cross multiply
    1,072.76x = 1,479.48 × 722.84
  4. Step 4: Simplify right side
    1,072.76x = 1,069,427.32
  5. Step 5: Solve for x
    x = 1,069,427.32/1,072.76
  6. Step 6: Final answer
    x = 996.89

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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.