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Finding the Fourth Proportional to 825.76, 1,237.74 and 517.84

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Solution

The fourth proportional to 825.76, 1,237.74 and 517.84 is: 776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.76 : 1,237.74 = 517.84 : x
  2. Step 2: Convert to fraction form
    825.76/1,237.74 = 517.84/x
  3. Step 3: Cross multiply
    825.76x = 1,237.74 × 517.84
  4. Step 4: Simplify right side
    825.76x = 640,951.28
  5. Step 5: Solve for x
    x = 640,951.28/825.76
  6. Step 6: Final answer
    x = 776.20

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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.