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Finding the Fourth Proportional to 1,334.22, 1,839.42 and 935.34

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Solution

The fourth proportional to 1,334.22, 1,839.42 and 935.34 is: 1,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.22 : 1,839.42 = 935.34 : x
  2. Step 2: Convert to fraction form
    1,334.22/1,839.42 = 935.34/x
  3. Step 3: Cross multiply
    1,334.22x = 1,839.42 × 935.34
  4. Step 4: Simplify right side
    1,334.22x = 1,720,483.10
  5. Step 5: Solve for x
    x = 1,720,483.10/1,334.22
  6. Step 6: Final answer
    x = 1,289.50

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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.