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Finding the Fourth Proportional to 825.02, 1,237.57 and 459.54

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Solution

The fourth proportional to 825.02, 1,237.57 and 459.54 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.02 : 1,237.57 = 459.54 : x
  2. Step 2: Convert to fraction form
    825.02/1,237.57 = 459.54/x
  3. Step 3: Cross multiply
    825.02x = 1,237.57 × 459.54
  4. Step 4: Simplify right side
    825.02x = 568,706.73
  5. Step 5: Solve for x
    x = 568,706.73/825.02
  6. Step 6: Final answer
    x = 689.32

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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.