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Finding the Fourth Proportional to 1,094.41, 1,511.76 and 874.90

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Solution

The fourth proportional to 1,094.41, 1,511.76 and 874.90 is: 1,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.41 : 1,511.76 = 874.90 : x
  2. Step 2: Convert to fraction form
    1,094.41/1,511.76 = 874.90/x
  3. Step 3: Cross multiply
    1,094.41x = 1,511.76 × 874.90
  4. Step 4: Simplify right side
    1,094.41x = 1,322,638.82
  5. Step 5: Solve for x
    x = 1,322,638.82/1,094.41
  6. Step 6: Final answer
    x = 1,208.54

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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.