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Finding the Fourth Proportional to 795.88, 1,193.82 and 282.88

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Solution

The fourth proportional to 795.88, 1,193.82 and 282.88 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.88 : 1,193.82 = 282.88 : x
  2. Step 2: Convert to fraction form
    795.88/1,193.82 = 282.88/x
  3. Step 3: Cross multiply
    795.88x = 1,193.82 × 282.88
  4. Step 4: Simplify right side
    795.88x = 337,707.80
  5. Step 5: Solve for x
    x = 337,707.80/795.88
  6. Step 6: Final answer
    x = 424.32

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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.