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Finding the Fourth Proportional to 1,264.97, 1,899.20 and 874.05

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Solution

The fourth proportional to 1,264.97, 1,899.20 and 874.05 is: 1,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.97 : 1,899.20 = 874.05 : x
  2. Step 2: Convert to fraction form
    1,264.97/1,899.20 = 874.05/x
  3. Step 3: Cross multiply
    1,264.97x = 1,899.20 × 874.05
  4. Step 4: Simplify right side
    1,264.97x = 1,659,991.39
  5. Step 5: Solve for x
    x = 1,659,991.39/1,264.97
  6. Step 6: Final answer
    x = 1,312.28

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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.