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Finding the Fourth Proportional to 1,097.63, 1,647 and 635.83

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Solution

The fourth proportional to 1,097.63, 1,647 and 635.83 is: 954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.63 : 1,647 = 635.83 : x
  2. Step 2: Convert to fraction form
    1,097.63/1,647 = 635.83/x
  3. Step 3: Cross multiply
    1,097.63x = 1,647 × 635.83
  4. Step 4: Simplify right side
    1,097.63x = 1,047,207.89
  5. Step 5: Solve for x
    x = 1,047,207.89/1,097.63
  6. Step 6: Final answer
    x = 954.06

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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.