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Finding the Fourth Proportional to 1,080.57, 1,620.18 and 533.01

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Solution

The fourth proportional to 1,080.57, 1,620.18 and 533.01 is: 799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.57 : 1,620.18 = 533.01 : x
  2. Step 2: Convert to fraction form
    1,080.57/1,620.18 = 533.01/x
  3. Step 3: Cross multiply
    1,080.57x = 1,620.18 × 533.01
  4. Step 4: Simplify right side
    1,080.57x = 863,572.14
  5. Step 5: Solve for x
    x = 863,572.14/1,080.57
  6. Step 6: Final answer
    x = 799.18

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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.