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Finding the Fourth Proportional to 1,268.65, 1,751.07 and 771.63

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Solution

The fourth proportional to 1,268.65, 1,751.07 and 771.63 is: 1,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.65 : 1,751.07 = 771.63 : x
  2. Step 2: Convert to fraction form
    1,268.65/1,751.07 = 771.63/x
  3. Step 3: Cross multiply
    1,268.65x = 1,751.07 × 771.63
  4. Step 4: Simplify right side
    1,268.65x = 1,351,178.14
  5. Step 5: Solve for x
    x = 1,351,178.14/1,268.65
  6. Step 6: Final answer
    x = 1,065.05

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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.