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Finding the Fourth Proportional to 716.70, 1,075.12 and 254.42

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Solution

The fourth proportional to 716.70, 1,075.12 and 254.42 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.70 : 1,075.12 = 254.42 : x
  2. Step 2: Convert to fraction form
    716.70/1,075.12 = 254.42/x
  3. Step 3: Cross multiply
    716.70x = 1,075.12 × 254.42
  4. Step 4: Simplify right side
    716.70x = 273,532.03
  5. Step 5: Solve for x
    x = 273,532.03/716.70
  6. Step 6: Final answer
    x = 381.65

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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.