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Finding the Fourth Proportional to 825.46, 1,235.46 and 454.70

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Solution

The fourth proportional to 825.46, 1,235.46 and 454.70 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.46 : 1,235.46 = 454.70 : x
  2. Step 2: Convert to fraction form
    825.46/1,235.46 = 454.70/x
  3. Step 3: Cross multiply
    825.46x = 1,235.46 × 454.70
  4. Step 4: Simplify right side
    825.46x = 561,760.57
  5. Step 5: Solve for x
    x = 561,760.57/825.46
  6. Step 6: Final answer
    x = 680.54

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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.