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Finding the Fourth Proportional to 822.25, 1,133.14 and 601.27

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Solution

The fourth proportional to 822.25, 1,133.14 and 601.27 is: 828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,133.14 = 601.27 : x
  2. Step 2: Convert to fraction form
    822.25/1,133.14 = 601.27/x
  3. Step 3: Cross multiply
    822.25x = 1,133.14 × 601.27
  4. Step 4: Simplify right side
    822.25x = 681,326.25
  5. Step 5: Solve for x
    x = 681,326.25/822.25
  6. Step 6: Final answer
    x = 828.61

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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.