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Finding the Fourth Proportional to 1,097.46, 1,644.39 and 663.30

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Solution

The fourth proportional to 1,097.46, 1,644.39 and 663.30 is: 993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.46 : 1,644.39 = 663.30 : x
  2. Step 2: Convert to fraction form
    1,097.46/1,644.39 = 663.30/x
  3. Step 3: Cross multiply
    1,097.46x = 1,644.39 × 663.30
  4. Step 4: Simplify right side
    1,097.46x = 1,090,723.89
  5. Step 5: Solve for x
    x = 1,090,723.89/1,097.46
  6. Step 6: Final answer
    x = 993.86

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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.