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Finding the Fourth Proportional to 822.47, 1,133.08 and 573.34

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Solution

The fourth proportional to 822.47, 1,133.08 and 573.34 is: 789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.47 : 1,133.08 = 573.34 : x
  2. Step 2: Convert to fraction form
    822.47/1,133.08 = 573.34/x
  3. Step 3: Cross multiply
    822.47x = 1,133.08 × 573.34
  4. Step 4: Simplify right side
    822.47x = 649,640.09
  5. Step 5: Solve for x
    x = 649,640.09/822.47
  6. Step 6: Final answer
    x = 789.86

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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.