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Finding the Fourth Proportional to 857.32, 1,179.78 and 833.22

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Solution

The fourth proportional to 857.32, 1,179.78 and 833.22 is: 1,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.32 : 1,179.78 = 833.22 : x
  2. Step 2: Convert to fraction form
    857.32/1,179.78 = 833.22/x
  3. Step 3: Cross multiply
    857.32x = 1,179.78 × 833.22
  4. Step 4: Simplify right side
    857.32x = 983,016.29
  5. Step 5: Solve for x
    x = 983,016.29/857.32
  6. Step 6: Final answer
    x = 1,146.62

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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.