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Finding the Fourth Proportional to 821.83, 1,133.92 and 785.95

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Solution

The fourth proportional to 821.83, 1,133.92 and 785.95 is: 1,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.83 : 1,133.92 = 785.95 : x
  2. Step 2: Convert to fraction form
    821.83/1,133.92 = 785.95/x
  3. Step 3: Cross multiply
    821.83x = 1,133.92 × 785.95
  4. Step 4: Simplify right side
    821.83x = 891,198.15
  5. Step 5: Solve for x
    x = 891,198.15/821.83
  6. Step 6: Final answer
    x = 1,084.41

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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.