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Finding the Fourth Proportional to 1,201.78, 1,657.65 and 940.66

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Solution

The fourth proportional to 1,201.78, 1,657.65 and 940.66 is: 1,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.78 : 1,657.65 = 940.66 : x
  2. Step 2: Convert to fraction form
    1,201.78/1,657.65 = 940.66/x
  3. Step 3: Cross multiply
    1,201.78x = 1,657.65 × 940.66
  4. Step 4: Simplify right side
    1,201.78x = 1,559,285.05
  5. Step 5: Solve for x
    x = 1,559,285.05/1,201.78
  6. Step 6: Final answer
    x = 1,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.