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Finding the Fourth Proportional to 1,276.65, 1,761.84 and 779.14

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Solution

The fourth proportional to 1,276.65, 1,761.84 and 779.14 is: 1,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.65 : 1,761.84 = 779.14 : x
  2. Step 2: Convert to fraction form
    1,276.65/1,761.84 = 779.14/x
  3. Step 3: Cross multiply
    1,276.65x = 1,761.84 × 779.14
  4. Step 4: Simplify right side
    1,276.65x = 1,372,720.02
  5. Step 5: Solve for x
    x = 1,372,720.02/1,276.65
  6. Step 6: Final answer
    x = 1,075.26

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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.