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Finding the Fourth Proportional to 795.15, 1,192.90 and 405.21

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Solution

The fourth proportional to 795.15, 1,192.90 and 405.21 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.15 : 1,192.90 = 405.21 : x
  2. Step 2: Convert to fraction form
    795.15/1,192.90 = 405.21/x
  3. Step 3: Cross multiply
    795.15x = 1,192.90 × 405.21
  4. Step 4: Simplify right side
    795.15x = 483,375.01
  5. Step 5: Solve for x
    x = 483,375.01/795.15
  6. Step 6: Final answer
    x = 607.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.