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Finding the Fourth Proportional to 822.02, 1,232.50 and 301.93

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Solution

The fourth proportional to 822.02, 1,232.50 and 301.93 is: 452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,232.50 = 301.93 : x
  2. Step 2: Convert to fraction form
    822.02/1,232.50 = 301.93/x
  3. Step 3: Cross multiply
    822.02x = 1,232.50 × 301.93
  4. Step 4: Simplify right side
    822.02x = 372,128.73
  5. Step 5: Solve for x
    x = 372,128.73/822.02
  6. Step 6: Final answer
    x = 452.70

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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.