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Finding the Fourth Proportional to 964.89, 1,447.23 and 271.63

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Solution

The fourth proportional to 964.89, 1,447.23 and 271.63 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.89 : 1,447.23 = 271.63 : x
  2. Step 2: Convert to fraction form
    964.89/1,447.23 = 271.63/x
  3. Step 3: Cross multiply
    964.89x = 1,447.23 × 271.63
  4. Step 4: Simplify right side
    964.89x = 393,111.08
  5. Step 5: Solve for x
    x = 393,111.08/964.89
  6. Step 6: Final answer
    x = 407.42

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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.