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Finding the Fourth Proportional to 889.64, 1,334.96 and 427.38

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Solution

The fourth proportional to 889.64, 1,334.96 and 427.38 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.64 : 1,334.96 = 427.38 : x
  2. Step 2: Convert to fraction form
    889.64/1,334.96 = 427.38/x
  3. Step 3: Cross multiply
    889.64x = 1,334.96 × 427.38
  4. Step 4: Simplify right side
    889.64x = 570,535.20
  5. Step 5: Solve for x
    x = 570,535.20/889.64
  6. Step 6: Final answer
    x = 641.31

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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.