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Finding the Fourth Proportional to 825.50, 1,238.00 and 455.17

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Solution

The fourth proportional to 825.50, 1,238.00 and 455.17 is: 682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.50 : 1,238.00 = 455.17 : x
  2. Step 2: Convert to fraction form
    825.50/1,238.00 = 455.17/x
  3. Step 3: Cross multiply
    825.50x = 1,238.00 × 455.17
  4. Step 4: Simplify right side
    825.50x = 563,498.05
  5. Step 5: Solve for x
    x = 563,498.05/825.50
  6. Step 6: Final answer
    x = 682.61

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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.