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Finding the Fourth Proportional to 857.20, 1,184.07 and 824.80

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Solution

The fourth proportional to 857.20, 1,184.07 and 824.80 is: 1,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.20 : 1,184.07 = 824.80 : x
  2. Step 2: Convert to fraction form
    857.20/1,184.07 = 824.80/x
  3. Step 3: Cross multiply
    857.20x = 1,184.07 × 824.80
  4. Step 4: Simplify right side
    857.20x = 976,620.94
  5. Step 5: Solve for x
    x = 976,620.94/857.20
  6. Step 6: Final answer
    x = 1,139.32

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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.