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Finding the Fourth Proportional to 795.74, 1,192.28 and 563.48

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Solution

The fourth proportional to 795.74, 1,192.28 and 563.48 is: 844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.74 : 1,192.28 = 563.48 : x
  2. Step 2: Convert to fraction form
    795.74/1,192.28 = 563.48/x
  3. Step 3: Cross multiply
    795.74x = 1,192.28 × 563.48
  4. Step 4: Simplify right side
    795.74x = 671,817.16
  5. Step 5: Solve for x
    x = 671,817.16/795.74
  6. Step 6: Final answer
    x = 844.27

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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.