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Finding the Fourth Proportional to 779.68, 1,075.68 and 447.84

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Solution

The fourth proportional to 779.68, 1,075.68 and 447.84 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.68 : 1,075.68 = 447.84 : x
  2. Step 2: Convert to fraction form
    779.68/1,075.68 = 447.84/x
  3. Step 3: Cross multiply
    779.68x = 1,075.68 × 447.84
  4. Step 4: Simplify right side
    779.68x = 481,732.53
  5. Step 5: Solve for x
    x = 481,732.53/779.68
  6. Step 6: Final answer
    x = 617.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.