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Finding the Fourth Proportional to 1,080.92, 1,621.55 and 533.14

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Solution

The fourth proportional to 1,080.92, 1,621.55 and 533.14 is: 799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.92 : 1,621.55 = 533.14 : x
  2. Step 2: Convert to fraction form
    1,080.92/1,621.55 = 533.14/x
  3. Step 3: Cross multiply
    1,080.92x = 1,621.55 × 533.14
  4. Step 4: Simplify right side
    1,080.92x = 864,510.45
  5. Step 5: Solve for x
    x = 864,510.45/1,080.92
  6. Step 6: Final answer
    x = 799.79

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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.