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Finding the Fourth Proportional to 889.90, 1,334.37 and 427.25

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Solution

The fourth proportional to 889.90, 1,334.37 and 427.25 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.90 : 1,334.37 = 427.25 : x
  2. Step 2: Convert to fraction form
    889.90/1,334.37 = 427.25/x
  3. Step 3: Cross multiply
    889.90x = 1,334.37 × 427.25
  4. Step 4: Simplify right side
    889.90x = 570,109.58
  5. Step 5: Solve for x
    x = 570,109.58/889.90
  6. Step 6: Final answer
    x = 640.64

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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.