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Finding the Fourth Proportional to 1,080.78, 1,620.21 and 464.16

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Solution

The fourth proportional to 1,080.78, 1,620.21 and 464.16 is: 695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.78 : 1,620.21 = 464.16 : x
  2. Step 2: Convert to fraction form
    1,080.78/1,620.21 = 464.16/x
  3. Step 3: Cross multiply
    1,080.78x = 1,620.21 × 464.16
  4. Step 4: Simplify right side
    1,080.78x = 752,036.67
  5. Step 5: Solve for x
    x = 752,036.67/1,080.78
  6. Step 6: Final answer
    x = 695.83

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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.