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Finding the Fourth Proportional to 795.92, 1,194.42 and 282.92

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Solution

The fourth proportional to 795.92, 1,194.42 and 282.92 is: 424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.92 : 1,194.42 = 282.92 : x
  2. Step 2: Convert to fraction form
    795.92/1,194.42 = 282.92/x
  3. Step 3: Cross multiply
    795.92x = 1,194.42 × 282.92
  4. Step 4: Simplify right side
    795.92x = 337,925.31
  5. Step 5: Solve for x
    x = 337,925.31/795.92
  6. Step 6: Final answer
    x = 424.57

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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.