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Finding the Fourth Proportional to 965.07, 1,447.53 and 271.74

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Solution

The fourth proportional to 965.07, 1,447.53 and 271.74 is: 407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.07 : 1,447.53 = 271.74 : x
  2. Step 2: Convert to fraction form
    965.07/1,447.53 = 271.74/x
  3. Step 3: Cross multiply
    965.07x = 1,447.53 × 271.74
  4. Step 4: Simplify right side
    965.07x = 393,351.80
  5. Step 5: Solve for x
    x = 393,351.80/965.07
  6. Step 6: Final answer
    x = 407.59

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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.