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Finding the Fourth Proportional to 1,409.59, 1,942.90 and 1,059.67

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Solution

The fourth proportional to 1,409.59, 1,942.90 and 1,059.67 is: 1,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.59 : 1,942.90 = 1,059.67 : x
  2. Step 2: Convert to fraction form
    1,409.59/1,942.90 = 1,059.67/x
  3. Step 3: Cross multiply
    1,409.59x = 1,942.90 × 1,059.67
  4. Step 4: Simplify right side
    1,409.59x = 2,058,832.84
  5. Step 5: Solve for x
    x = 2,058,832.84/1,409.59
  6. Step 6: Final answer
    x = 1,460.59

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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.