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Finding the Fourth Proportional to 960.70, 1,342.10 and 960.70

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Solution

The fourth proportional to 960.70, 1,342.10 and 960.70 is: 1,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.70 : 1,342.10 = 960.70 : x
  2. Step 2: Convert to fraction form
    960.70/1,342.10 = 960.70/x
  3. Step 3: Cross multiply
    960.70x = 1,342.10 × 960.70
  4. Step 4: Simplify right side
    960.70x = 1,289,355.47
  5. Step 5: Solve for x
    x = 1,289,355.47/960.70
  6. Step 6: Final answer
    x = 1,342.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.