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Finding the Fourth Proportional to 961.90, 1,325.28 and 795.22

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Solution

The fourth proportional to 961.90, 1,325.28 and 795.22 is: 1,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.90 : 1,325.28 = 795.22 : x
  2. Step 2: Convert to fraction form
    961.90/1,325.28 = 795.22/x
  3. Step 3: Cross multiply
    961.90x = 1,325.28 × 795.22
  4. Step 4: Simplify right side
    961.90x = 1,053,889.16
  5. Step 5: Solve for x
    x = 1,053,889.16/961.90
  6. Step 6: Final answer
    x = 1,095.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.