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Finding the Fourth Proportional to 1,080.07, 1,620.09 and 464.20

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Solution

The fourth proportional to 1,080.07, 1,620.09 and 464.20 is: 696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.07 : 1,620.09 = 464.20 : x
  2. Step 2: Convert to fraction form
    1,080.07/1,620.09 = 464.20/x
  3. Step 3: Cross multiply
    1,080.07x = 1,620.09 × 464.20
  4. Step 4: Simplify right side
    1,080.07x = 752,045.78
  5. Step 5: Solve for x
    x = 752,045.78/1,080.07
  6. Step 6: Final answer
    x = 696.30

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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.