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Finding the Fourth Proportional to 779.07, 1,075.31 and 447.58

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Solution

The fourth proportional to 779.07, 1,075.31 and 447.58 is: 617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.07 : 1,075.31 = 447.58 : x
  2. Step 2: Convert to fraction form
    779.07/1,075.31 = 447.58/x
  3. Step 3: Cross multiply
    779.07x = 1,075.31 × 447.58
  4. Step 4: Simplify right side
    779.07x = 481,287.25
  5. Step 5: Solve for x
    x = 481,287.25/779.07
  6. Step 6: Final answer
    x = 617.77

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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.