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Finding the Fourth Proportional to 893.64, 1,340.44 and 406.82

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Solution

The fourth proportional to 893.64, 1,340.44 and 406.82 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.64 : 1,340.44 = 406.82 : x
  2. Step 2: Convert to fraction form
    893.64/1,340.44 = 406.82/x
  3. Step 3: Cross multiply
    893.64x = 1,340.44 × 406.82
  4. Step 4: Simplify right side
    893.64x = 545,317.80
  5. Step 5: Solve for x
    x = 545,317.80/893.64
  6. Step 6: Final answer
    x = 610.22

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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.