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Finding the Fourth Proportional to 841.97, 1,262.75 and 256.88

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Solution

The fourth proportional to 841.97, 1,262.75 and 256.88 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.97 : 1,262.75 = 256.88 : x
  2. Step 2: Convert to fraction form
    841.97/1,262.75 = 256.88/x
  3. Step 3: Cross multiply
    841.97x = 1,262.75 × 256.88
  4. Step 4: Simplify right side
    841.97x = 324,367.62
  5. Step 5: Solve for x
    x = 324,367.62/841.97
  6. Step 6: Final answer
    x = 385.25

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