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Finding the Fourth Proportional to 795.70, 1,192.20 and 679.60

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Solution

The fourth proportional to 795.70, 1,192.20 and 679.60 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.70 : 1,192.20 = 679.60 : x
  2. Step 2: Convert to fraction form
    795.70/1,192.20 = 679.60/x
  3. Step 3: Cross multiply
    795.70x = 1,192.20 × 679.60
  4. Step 4: Simplify right side
    795.70x = 810,219.12
  5. Step 5: Solve for x
    x = 810,219.12/795.70
  6. Step 6: Final answer
    x = 1,018.25

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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.