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Finding the Fourth Proportional to 1,080.46, 1,620.78 and 464.18

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Solution

The fourth proportional to 1,080.46, 1,620.78 and 464.18 is: 696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.46 : 1,620.78 = 464.18 : x
  2. Step 2: Convert to fraction form
    1,080.46/1,620.78 = 464.18/x
  3. Step 3: Cross multiply
    1,080.46x = 1,620.78 × 464.18
  4. Step 4: Simplify right side
    1,080.46x = 752,333.66
  5. Step 5: Solve for x
    x = 752,333.66/1,080.46
  6. Step 6: Final answer
    x = 696.31

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Why These Related Problems?

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