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Finding the Fourth Proportional to 1,398.49, 1,930.28 and 809.37

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Solution

The fourth proportional to 1,398.49, 1,930.28 and 809.37 is: 1,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.49 : 1,930.28 = 809.37 : x
  2. Step 2: Convert to fraction form
    1,398.49/1,930.28 = 809.37/x
  3. Step 3: Cross multiply
    1,398.49x = 1,930.28 × 809.37
  4. Step 4: Simplify right side
    1,398.49x = 1,562,310.72
  5. Step 5: Solve for x
    x = 1,562,310.72/1,398.49
  6. Step 6: Final answer
    x = 1,117.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.