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Finding the Fourth Proportional to 1,097.53, 1,644.67 and 685.64

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Solution

The fourth proportional to 1,097.53, 1,644.67 and 685.64 is: 1,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.53 : 1,644.67 = 685.64 : x
  2. Step 2: Convert to fraction form
    1,097.53/1,644.67 = 685.64/x
  3. Step 3: Cross multiply
    1,097.53x = 1,644.67 × 685.64
  4. Step 4: Simplify right side
    1,097.53x = 1,127,651.54
  5. Step 5: Solve for x
    x = 1,127,651.54/1,097.53
  6. Step 6: Final answer
    x = 1,027.44

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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.