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Finding the Fourth Proportional to 778.97, 1,075.13 and 484.53

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Solution

The fourth proportional to 778.97, 1,075.13 and 484.53 is: 668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,075.13 = 484.53 : x
  2. Step 2: Convert to fraction form
    778.97/1,075.13 = 484.53/x
  3. Step 3: Cross multiply
    778.97x = 1,075.13 × 484.53
  4. Step 4: Simplify right side
    778.97x = 520,930.32
  5. Step 5: Solve for x
    x = 520,930.32/778.97
  6. Step 6: Final answer
    x = 668.75

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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.