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Finding the Fourth Proportional to 1,431.98, 1,976.10 and 842.53

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Solution

The fourth proportional to 1,431.98, 1,976.10 and 842.53 is: 1,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.98 : 1,976.10 = 842.53 : x
  2. Step 2: Convert to fraction form
    1,431.98/1,976.10 = 842.53/x
  3. Step 3: Cross multiply
    1,431.98x = 1,976.10 × 842.53
  4. Step 4: Simplify right side
    1,431.98x = 1,664,923.53
  5. Step 5: Solve for x
    x = 1,664,923.53/1,431.98
  6. Step 6: Final answer
    x = 1,162.67

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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.