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Finding the Fourth Proportional to 1,310.24, 1,965.74 and 762.88

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Solution

The fourth proportional to 1,310.24, 1,965.74 and 762.88 is: 1,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,965.74 = 762.88 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,965.74 = 762.88/x
  3. Step 3: Cross multiply
    1,310.24x = 1,965.74 × 762.88
  4. Step 4: Simplify right side
    1,310.24x = 1,499,622.37
  5. Step 5: Solve for x
    x = 1,499,622.37/1,310.24
  6. Step 6: Final answer
    x = 1,144.54

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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.