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Finding the Fourth Proportional to 716.97, 1,075.84 and 409.04

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Solution

The fourth proportional to 716.97, 1,075.84 and 409.04 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.97 : 1,075.84 = 409.04 : x
  2. Step 2: Convert to fraction form
    716.97/1,075.84 = 409.04/x
  3. Step 3: Cross multiply
    716.97x = 1,075.84 × 409.04
  4. Step 4: Simplify right side
    716.97x = 440,057.68
  5. Step 5: Solve for x
    x = 440,057.68/716.97
  6. Step 6: Final answer
    x = 613.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.