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Finding the Fourth Proportional to 1,097.23, 1,644.14 and 685.12

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Solution

The fourth proportional to 1,097.23, 1,644.14 and 685.12 is: 1,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.23 : 1,644.14 = 685.12 : x
  2. Step 2: Convert to fraction form
    1,097.23/1,644.14 = 685.12/x
  3. Step 3: Cross multiply
    1,097.23x = 1,644.14 × 685.12
  4. Step 4: Simplify right side
    1,097.23x = 1,126,433.20
  5. Step 5: Solve for x
    x = 1,126,433.20/1,097.23
  6. Step 6: Final answer
    x = 1,026.62

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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.