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Finding the Fourth Proportional to 1,276.39, 1,761.66 and 779.47

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Solution

The fourth proportional to 1,276.39, 1,761.66 and 779.47 is: 1,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.39 : 1,761.66 = 779.47 : x
  2. Step 2: Convert to fraction form
    1,276.39/1,761.66 = 779.47/x
  3. Step 3: Cross multiply
    1,276.39x = 1,761.66 × 779.47
  4. Step 4: Simplify right side
    1,276.39x = 1,373,161.12
  5. Step 5: Solve for x
    x = 1,373,161.12/1,276.39
  6. Step 6: Final answer
    x = 1,075.82

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1.5x scale

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.