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Finding the Fourth Proportional to 1,100.52, 1,518.27 and 722.31

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Solution

The fourth proportional to 1,100.52, 1,518.27 and 722.31 is: 996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.52 : 1,518.27 = 722.31 : x
  2. Step 2: Convert to fraction form
    1,100.52/1,518.27 = 722.31/x
  3. Step 3: Cross multiply
    1,100.52x = 1,518.27 × 722.31
  4. Step 4: Simplify right side
    1,100.52x = 1,096,661.60
  5. Step 5: Solve for x
    x = 1,096,661.60/1,100.52
  6. Step 6: Final answer
    x = 996.49

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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.