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Finding the Fourth Proportional to 940.90, 1,297.06 and 660.28

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Solution

The fourth proportional to 940.90, 1,297.06 and 660.28 is: 910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.90 : 1,297.06 = 660.28 : x
  2. Step 2: Convert to fraction form
    940.90/1,297.06 = 660.28/x
  3. Step 3: Cross multiply
    940.90x = 1,297.06 × 660.28
  4. Step 4: Simplify right side
    940.90x = 856,422.78
  5. Step 5: Solve for x
    x = 856,422.78/940.90
  6. Step 6: Final answer
    x = 910.22

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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.