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Finding the Fourth Proportional to 1,114.94, 1,672.31 and 874.37

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Solution

The fourth proportional to 1,114.94, 1,672.31 and 874.37 is: 1,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.94 : 1,672.31 = 874.37 : x
  2. Step 2: Convert to fraction form
    1,114.94/1,672.31 = 874.37/x
  3. Step 3: Cross multiply
    1,114.94x = 1,672.31 × 874.37
  4. Step 4: Simplify right side
    1,114.94x = 1,462,217.69
  5. Step 5: Solve for x
    x = 1,462,217.69/1,114.94
  6. Step 6: Final answer
    x = 1,311.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.