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Finding the Fourth Proportional to 822.01, 1,232.83 and 237.01

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Solution

The fourth proportional to 822.01, 1,232.83 and 237.01 is: 355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.01 : 1,232.83 = 237.01 : x
  2. Step 2: Convert to fraction form
    822.01/1,232.83 = 237.01/x
  3. Step 3: Cross multiply
    822.01x = 1,232.83 × 237.01
  4. Step 4: Simplify right side
    822.01x = 292,193.04
  5. Step 5: Solve for x
    x = 292,193.04/822.01
  6. Step 6: Final answer
    x = 355.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.