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Finding the Fourth Proportional to 1,080.46, 1,620.08 and 463.78

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Solution

The fourth proportional to 1,080.46, 1,620.08 and 463.78 is: 695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.46 : 1,620.08 = 463.78 : x
  2. Step 2: Convert to fraction form
    1,080.46/1,620.08 = 463.78/x
  3. Step 3: Cross multiply
    1,080.46x = 1,620.08 × 463.78
  4. Step 4: Simplify right side
    1,080.46x = 751,360.70
  5. Step 5: Solve for x
    x = 751,360.70/1,080.46
  6. Step 6: Final answer
    x = 695.41

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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.