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Finding the Fourth Proportional to 968.44, 1,333.24 and 870

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Solution

The fourth proportional to 968.44, 1,333.24 and 870 is: 1,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 1,333.24 = 870 : x
  2. Step 2: Convert to fraction form
    968.44/1,333.24 = 870/x
  3. Step 3: Cross multiply
    968.44x = 1,333.24 × 870
  4. Step 4: Simplify right side
    968.44x = 1,159,918.80
  5. Step 5: Solve for x
    x = 1,159,918.80/968.44
  6. Step 6: Final answer
    x = 1,197.72

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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.