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Finding the Fourth Proportional to 778.95, 1,075.13 and 447.57

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Solution

The fourth proportional to 778.95, 1,075.13 and 447.57 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.95 : 1,075.13 = 447.57 : x
  2. Step 2: Convert to fraction form
    778.95/1,075.13 = 447.57/x
  3. Step 3: Cross multiply
    778.95x = 1,075.13 × 447.57
  4. Step 4: Simplify right side
    778.95x = 481,192.95
  5. Step 5: Solve for x
    x = 481,192.95/778.95
  6. Step 6: Final answer
    x = 617.75

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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.