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Finding the Fourth Proportional to 835.52, 1,142.80 and 822.08

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Solution

The fourth proportional to 835.52, 1,142.80 and 822.08 is: 1,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.52 : 1,142.80 = 822.08 : x
  2. Step 2: Convert to fraction form
    835.52/1,142.80 = 822.08/x
  3. Step 3: Cross multiply
    835.52x = 1,142.80 × 822.08
  4. Step 4: Simplify right side
    835.52x = 939,473.02
  5. Step 5: Solve for x
    x = 939,473.02/835.52
  6. Step 6: Final answer
    x = 1,124.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.