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Finding the Fourth Proportional to 1,492.70, 2,059.16 and 863.19

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Solution

The fourth proportional to 1,492.70, 2,059.16 and 863.19 is: 1,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.70 : 2,059.16 = 863.19 : x
  2. Step 2: Convert to fraction form
    1,492.70/2,059.16 = 863.19/x
  3. Step 3: Cross multiply
    1,492.70x = 2,059.16 × 863.19
  4. Step 4: Simplify right side
    1,492.70x = 1,777,442.00
  5. Step 5: Solve for x
    x = 1,777,442.00/1,492.70
  6. Step 6: Final answer
    x = 1,190.76

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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.