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Finding the Fourth Proportional to 968.82, 1,335.87 and 735.54

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Solution

The fourth proportional to 968.82, 1,335.87 and 735.54 is: 1,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.82 : 1,335.87 = 735.54 : x
  2. Step 2: Convert to fraction form
    968.82/1,335.87 = 735.54/x
  3. Step 3: Cross multiply
    968.82x = 1,335.87 × 735.54
  4. Step 4: Simplify right side
    968.82x = 982,585.82
  5. Step 5: Solve for x
    x = 982,585.82/968.82
  6. Step 6: Final answer
    x = 1,014.21

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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.