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Finding the Fourth Proportional to 1,398.26, 2,097.39 and 473.82

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Solution

The fourth proportional to 1,398.26, 2,097.39 and 473.82 is: 710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.26 : 2,097.39 = 473.82 : x
  2. Step 2: Convert to fraction form
    1,398.26/2,097.39 = 473.82/x
  3. Step 3: Cross multiply
    1,398.26x = 2,097.39 × 473.82
  4. Step 4: Simplify right side
    1,398.26x = 993,785.33
  5. Step 5: Solve for x
    x = 993,785.33/1,398.26
  6. Step 6: Final answer
    x = 710.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.