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Finding the Fourth Proportional to 960.08, 1,440.16 and 777.82

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Solution

The fourth proportional to 960.08, 1,440.16 and 777.82 is: 1,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.08 : 1,440.16 = 777.82 : x
  2. Step 2: Convert to fraction form
    960.08/1,440.16 = 777.82/x
  3. Step 3: Cross multiply
    960.08x = 1,440.16 × 777.82
  4. Step 4: Simplify right side
    960.08x = 1,120,185.25
  5. Step 5: Solve for x
    x = 1,120,185.25/960.08
  6. Step 6: Final answer
    x = 1,166.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.