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Finding the Fourth Proportional to 981.97, 1,356.29 and 857.23

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Solution

The fourth proportional to 981.97, 1,356.29 and 857.23 is: 1,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.97 : 1,356.29 = 857.23 : x
  2. Step 2: Convert to fraction form
    981.97/1,356.29 = 857.23/x
  3. Step 3: Cross multiply
    981.97x = 1,356.29 × 857.23
  4. Step 4: Simplify right side
    981.97x = 1,162,652.48
  5. Step 5: Solve for x
    x = 1,162,652.48/981.97
  6. Step 6: Final answer
    x = 1,184.00

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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.