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Finding the Fourth Proportional to 1,392.28, 1,921.68 and 833

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Solution

The fourth proportional to 1,392.28, 1,921.68 and 833 is: 1,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.28 : 1,921.68 = 833 : x
  2. Step 2: Convert to fraction form
    1,392.28/1,921.68 = 833/x
  3. Step 3: Cross multiply
    1,392.28x = 1,921.68 × 833
  4. Step 4: Simplify right side
    1,392.28x = 1,600,759.44
  5. Step 5: Solve for x
    x = 1,600,759.44/1,392.28
  6. Step 6: Final answer
    x = 1,149.74

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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.