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Finding the Fourth Proportional to 1,094.78, 1,648.33 and 965.58

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Solution

The fourth proportional to 1,094.78, 1,648.33 and 965.58 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,648.33 = 965.58 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,648.33 = 965.58/x
  3. Step 3: Cross multiply
    1,094.78x = 1,648.33 × 965.58
  4. Step 4: Simplify right side
    1,094.78x = 1,591,596.90
  5. Step 5: Solve for x
    x = 1,591,596.90/1,094.78
  6. Step 6: Final answer
    x = 1,453.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.