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Finding the Fourth Proportional to 1,096.80, 1,513.63 and 599.46

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Solution

The fourth proportional to 1,096.80, 1,513.63 and 599.46 is: 827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.80 : 1,513.63 = 599.46 : x
  2. Step 2: Convert to fraction form
    1,096.80/1,513.63 = 599.46/x
  3. Step 3: Cross multiply
    1,096.80x = 1,513.63 × 599.46
  4. Step 4: Simplify right side
    1,096.80x = 907,360.64
  5. Step 5: Solve for x
    x = 907,360.64/1,096.80
  6. Step 6: Final answer
    x = 827.28

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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.