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Finding the Fourth Proportional to 938.48, 1,406.51 and 809.29

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Solution

The fourth proportional to 938.48, 1,406.51 and 809.29 is: 1,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.48 : 1,406.51 = 809.29 : x
  2. Step 2: Convert to fraction form
    938.48/1,406.51 = 809.29/x
  3. Step 3: Cross multiply
    938.48x = 1,406.51 × 809.29
  4. Step 4: Simplify right side
    938.48x = 1,138,263.40
  5. Step 5: Solve for x
    x = 1,138,263.40/938.48
  6. Step 6: Final answer
    x = 1,212.88

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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.