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Finding the Fourth Proportional to 795.40, 1,192.92 and 405.15

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Solution

The fourth proportional to 795.40, 1,192.92 and 405.15 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.40 : 1,192.92 = 405.15 : x
  2. Step 2: Convert to fraction form
    795.40/1,192.92 = 405.15/x
  3. Step 3: Cross multiply
    795.40x = 1,192.92 × 405.15
  4. Step 4: Simplify right side
    795.40x = 483,311.54
  5. Step 5: Solve for x
    x = 483,311.54/795.40
  6. Step 6: Final answer
    x = 607.63

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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.