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Finding the Fourth Proportional to 779.80, 1,075.98 and 481.24

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Solution

The fourth proportional to 779.80, 1,075.98 and 481.24 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.80 : 1,075.98 = 481.24 : x
  2. Step 2: Convert to fraction form
    779.80/1,075.98 = 481.24/x
  3. Step 3: Cross multiply
    779.80x = 1,075.98 × 481.24
  4. Step 4: Simplify right side
    779.80x = 517,804.62
  5. Step 5: Solve for x
    x = 517,804.62/779.80
  6. Step 6: Final answer
    x = 664.02

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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.