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Finding the Fourth Proportional to 822.14, 1,233.02 and 237.13

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Solution

The fourth proportional to 822.14, 1,233.02 and 237.13 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.14 : 1,233.02 = 237.13 : x
  2. Step 2: Convert to fraction form
    822.14/1,233.02 = 237.13/x
  3. Step 3: Cross multiply
    822.14x = 1,233.02 × 237.13
  4. Step 4: Simplify right side
    822.14x = 292,386.03
  5. Step 5: Solve for x
    x = 292,386.03/822.14
  6. Step 6: Final answer
    x = 355.64

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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.