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Finding the Fourth Proportional to 825.15, 1,236.92 and 305.00

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Solution

The fourth proportional to 825.15, 1,236.92 and 305.00 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.15 : 1,236.92 = 305.00 : x
  2. Step 2: Convert to fraction form
    825.15/1,236.92 = 305.00/x
  3. Step 3: Cross multiply
    825.15x = 1,236.92 × 305.00
  4. Step 4: Simplify right side
    825.15x = 377,264.46
  5. Step 5: Solve for x
    x = 377,264.46/825.15
  6. Step 6: Final answer
    x = 457.21

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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.