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Finding the Fourth Proportional to 963.26, 1,447.62 and 897.68

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Solution

The fourth proportional to 963.26, 1,447.62 and 897.68 is: 1,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.26 : 1,447.62 = 897.68 : x
  2. Step 2: Convert to fraction form
    963.26/1,447.62 = 897.68/x
  3. Step 3: Cross multiply
    963.26x = 1,447.62 × 897.68
  4. Step 4: Simplify right side
    963.26x = 1,299,499.52
  5. Step 5: Solve for x
    x = 1,299,499.52/963.26
  6. Step 6: Final answer
    x = 1,349.06

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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.