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Finding the Fourth Proportional to 1,399.34, 1,930.95 and 809.79

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Solution

The fourth proportional to 1,399.34, 1,930.95 and 809.79 is: 1,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.34 : 1,930.95 = 809.79 : x
  2. Step 2: Convert to fraction form
    1,399.34/1,930.95 = 809.79/x
  3. Step 3: Cross multiply
    1,399.34x = 1,930.95 × 809.79
  4. Step 4: Simplify right side
    1,399.34x = 1,563,664.00
  5. Step 5: Solve for x
    x = 1,563,664.00/1,399.34
  6. Step 6: Final answer
    x = 1,117.43

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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.