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Finding the Fourth Proportional to 1,274.77, 1,758.85 and 854.82

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Solution

The fourth proportional to 1,274.77, 1,758.85 and 854.82 is: 1,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.77 : 1,758.85 = 854.82 : x
  2. Step 2: Convert to fraction form
    1,274.77/1,758.85 = 854.82/x
  3. Step 3: Cross multiply
    1,274.77x = 1,758.85 × 854.82
  4. Step 4: Simplify right side
    1,274.77x = 1,503,498.02
  5. Step 5: Solve for x
    x = 1,503,498.02/1,274.77
  6. Step 6: Final answer
    x = 1,179.43

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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.