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Finding the Fourth Proportional to 1,087.72, 1,631.81 and 539.26

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Solution

The fourth proportional to 1,087.72, 1,631.81 and 539.26 is: 809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.72 : 1,631.81 = 539.26 : x
  2. Step 2: Convert to fraction form
    1,087.72/1,631.81 = 539.26/x
  3. Step 3: Cross multiply
    1,087.72x = 1,631.81 × 539.26
  4. Step 4: Simplify right side
    1,087.72x = 879,969.86
  5. Step 5: Solve for x
    x = 879,969.86/1,087.72
  6. Step 6: Final answer
    x = 809.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.