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Finding the Fourth Proportional to 1,168.02, 1,610.58 and 794.24

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Solution

The fourth proportional to 1,168.02, 1,610.58 and 794.24 is: 1,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.02 : 1,610.58 = 794.24 : x
  2. Step 2: Convert to fraction form
    1,168.02/1,610.58 = 794.24/x
  3. Step 3: Cross multiply
    1,168.02x = 1,610.58 × 794.24
  4. Step 4: Simplify right side
    1,168.02x = 1,279,188.02
  5. Step 5: Solve for x
    x = 1,279,188.02/1,168.02
  6. Step 6: Final answer
    x = 1,095.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.