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Finding the Fourth Proportional to 887.63, 1,331.57 and 271.42

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Solution

The fourth proportional to 887.63, 1,331.57 and 271.42 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.63 : 1,331.57 = 271.42 : x
  2. Step 2: Convert to fraction form
    887.63/1,331.57 = 271.42/x
  3. Step 3: Cross multiply
    887.63x = 1,331.57 × 271.42
  4. Step 4: Simplify right side
    887.63x = 361,412.08
  5. Step 5: Solve for x
    x = 361,412.08/887.63
  6. Step 6: Final answer
    x = 407.17

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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.