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Finding the Fourth Proportional to 817.64, 1,223.73 and 671.39

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Solution

The fourth proportional to 817.64, 1,223.73 and 671.39 is: 1,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.64 : 1,223.73 = 671.39 : x
  2. Step 2: Convert to fraction form
    817.64/1,223.73 = 671.39/x
  3. Step 3: Cross multiply
    817.64x = 1,223.73 × 671.39
  4. Step 4: Simplify right side
    817.64x = 821,600.44
  5. Step 5: Solve for x
    x = 821,600.44/817.64
  6. Step 6: Final answer
    x = 1,004.84

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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.