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Finding the Fourth Proportional to 779.42, 1,075.66 and 447.96

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Solution

The fourth proportional to 779.42, 1,075.66 and 447.96 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,075.66 = 447.96 : x
  2. Step 2: Convert to fraction form
    779.42/1,075.66 = 447.96/x
  3. Step 3: Cross multiply
    779.42x = 1,075.66 × 447.96
  4. Step 4: Simplify right side
    779.42x = 481,852.65
  5. Step 5: Solve for x
    x = 481,852.65/779.42
  6. Step 6: Final answer
    x = 618.22

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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.