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Finding the Fourth Proportional to 1,398.47, 1,929.77 and 809.05

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Solution

The fourth proportional to 1,398.47, 1,929.77 and 809.05 is: 1,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.47 : 1,929.77 = 809.05 : x
  2. Step 2: Convert to fraction form
    1,398.47/1,929.77 = 809.05/x
  3. Step 3: Cross multiply
    1,398.47x = 1,929.77 × 809.05
  4. Step 4: Simplify right side
    1,398.47x = 1,561,277.62
  5. Step 5: Solve for x
    x = 1,561,277.62/1,398.47
  6. Step 6: Final answer
    x = 1,116.42

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Why These Related Problems?

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