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Finding the Fourth Proportional to 887.69, 1,331.01 and 271.23

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Solution

The fourth proportional to 887.69, 1,331.01 and 271.23 is: 406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.69 : 1,331.01 = 271.23 : x
  2. Step 2: Convert to fraction form
    887.69/1,331.01 = 271.23/x
  3. Step 3: Cross multiply
    887.69x = 1,331.01 × 271.23
  4. Step 4: Simplify right side
    887.69x = 361,009.84
  5. Step 5: Solve for x
    x = 361,009.84/887.69
  6. Step 6: Final answer
    x = 406.69

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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.