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Finding the Fourth Proportional to 823.83, 1,134.30 and 699.22

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Solution

The fourth proportional to 823.83, 1,134.30 and 699.22 is: 962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.83 : 1,134.30 = 699.22 : x
  2. Step 2: Convert to fraction form
    823.83/1,134.30 = 699.22/x
  3. Step 3: Cross multiply
    823.83x = 1,134.30 × 699.22
  4. Step 4: Simplify right side
    823.83x = 793,125.25
  5. Step 5: Solve for x
    x = 793,125.25/823.83
  6. Step 6: Final answer
    x = 962.73

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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.