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Finding the Fourth Proportional to 1,406.23, 1,940.60 and 768.17

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Solution

The fourth proportional to 1,406.23, 1,940.60 and 768.17 is: 1,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.23 : 1,940.60 = 768.17 : x
  2. Step 2: Convert to fraction form
    1,406.23/1,940.60 = 768.17/x
  3. Step 3: Cross multiply
    1,406.23x = 1,940.60 × 768.17
  4. Step 4: Simplify right side
    1,406.23x = 1,490,697.16
  5. Step 5: Solve for x
    x = 1,490,697.16/1,406.23
  6. Step 6: Final answer
    x = 1,060.07

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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.