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Finding the Fourth Proportional to 1,194.94, 1,777.95 and 1,165.18

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Solution

The fourth proportional to 1,194.94, 1,777.95 and 1,165.18 is: 1,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.94 : 1,777.95 = 1,165.18 : x
  2. Step 2: Convert to fraction form
    1,194.94/1,777.95 = 1,165.18/x
  3. Step 3: Cross multiply
    1,194.94x = 1,777.95 × 1,165.18
  4. Step 4: Simplify right side
    1,194.94x = 2,071,631.78
  5. Step 5: Solve for x
    x = 2,071,631.78/1,194.94
  6. Step 6: Final answer
    x = 1,733.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.