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Finding the Fourth Proportional to 889.14, 1,333.73 and 272.86

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Solution

The fourth proportional to 889.14, 1,333.73 and 272.86 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.14 : 1,333.73 = 272.86 : x
  2. Step 2: Convert to fraction form
    889.14/1,333.73 = 272.86/x
  3. Step 3: Cross multiply
    889.14x = 1,333.73 × 272.86
  4. Step 4: Simplify right side
    889.14x = 363,921.57
  5. Step 5: Solve for x
    x = 363,921.57/889.14
  6. Step 6: Final answer
    x = 409.30

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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.