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Finding the Fourth Proportional to 1,080.79, 1,621.81 and 456.04

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Solution

The fourth proportional to 1,080.79, 1,621.81 and 456.04 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.79 : 1,621.81 = 456.04 : x
  2. Step 2: Convert to fraction form
    1,080.79/1,621.81 = 456.04/x
  3. Step 3: Cross multiply
    1,080.79x = 1,621.81 × 456.04
  4. Step 4: Simplify right side
    1,080.79x = 739,607.95
  5. Step 5: Solve for x
    x = 739,607.95/1,080.79
  6. Step 6: Final answer
    x = 684.32

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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.