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Finding the Fourth Proportional to 1,176.31, 1,762.44 and 809.79

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Solution

The fourth proportional to 1,176.31, 1,762.44 and 809.79 is: 1,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.31 : 1,762.44 = 809.79 : x
  2. Step 2: Convert to fraction form
    1,176.31/1,762.44 = 809.79/x
  3. Step 3: Cross multiply
    1,176.31x = 1,762.44 × 809.79
  4. Step 4: Simplify right side
    1,176.31x = 1,427,206.29
  5. Step 5: Solve for x
    x = 1,427,206.29/1,176.31
  6. Step 6: Final answer
    x = 1,213.29

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Why These Related Problems?

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