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Finding the Fourth Proportional to 795.26, 1,192.73 and 362.31

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Solution

The fourth proportional to 795.26, 1,192.73 and 362.31 is: 543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.26 : 1,192.73 = 362.31 : x
  2. Step 2: Convert to fraction form
    795.26/1,192.73 = 362.31/x
  3. Step 3: Cross multiply
    795.26x = 1,192.73 × 362.31
  4. Step 4: Simplify right side
    795.26x = 432,136.19
  5. Step 5: Solve for x
    x = 432,136.19/795.26
  6. Step 6: Final answer
    x = 543.39

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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.