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Finding the Fourth Proportional to 1,096.82, 1,513.60 and 599.46

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Solution

The fourth proportional to 1,096.82, 1,513.60 and 599.46 is: 827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.82 : 1,513.60 = 599.46 : x
  2. Step 2: Convert to fraction form
    1,096.82/1,513.60 = 599.46/x
  3. Step 3: Cross multiply
    1,096.82x = 1,513.60 × 599.46
  4. Step 4: Simplify right side
    1,096.82x = 907,342.66
  5. Step 5: Solve for x
    x = 907,342.66/1,096.82
  6. Step 6: Final answer
    x = 827.25

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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.