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Finding the Fourth Proportional to 779.40, 1,075.52 and 447.78

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Solution

The fourth proportional to 779.40, 1,075.52 and 447.78 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.40 : 1,075.52 = 447.78 : x
  2. Step 2: Convert to fraction form
    779.40/1,075.52 = 447.78/x
  3. Step 3: Cross multiply
    779.40x = 1,075.52 × 447.78
  4. Step 4: Simplify right side
    779.40x = 481,596.35
  5. Step 5: Solve for x
    x = 481,596.35/779.40
  6. Step 6: Final answer
    x = 617.91

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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.