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Finding the Fourth Proportional to 1,398.09, 2,097.23 and 424.20

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Solution

The fourth proportional to 1,398.09, 2,097.23 and 424.20 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.09 : 2,097.23 = 424.20 : x
  2. Step 2: Convert to fraction form
    1,398.09/2,097.23 = 424.20/x
  3. Step 3: Cross multiply
    1,398.09x = 2,097.23 × 424.20
  4. Step 4: Simplify right side
    1,398.09x = 889,650.71
  5. Step 5: Solve for x
    x = 889,650.71/1,398.09
  6. Step 6: Final answer
    x = 636.33

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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.