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Finding the Fourth Proportional to 822.11, 1,133.24 and 656.06

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Solution

The fourth proportional to 822.11, 1,133.24 and 656.06 is: 904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.11 : 1,133.24 = 656.06 : x
  2. Step 2: Convert to fraction form
    822.11/1,133.24 = 656.06/x
  3. Step 3: Cross multiply
    822.11x = 1,133.24 × 656.06
  4. Step 4: Simplify right side
    822.11x = 743,464.49
  5. Step 5: Solve for x
    x = 743,464.49/822.11
  6. Step 6: Final answer
    x = 904.34

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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.