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Finding the Fourth Proportional to 841.94, 1,262.97 and 256.99

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Solution

The fourth proportional to 841.94, 1,262.97 and 256.99 is: 385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.94 : 1,262.97 = 256.99 : x
  2. Step 2: Convert to fraction form
    841.94/1,262.97 = 256.99/x
  3. Step 3: Cross multiply
    841.94x = 1,262.97 × 256.99
  4. Step 4: Simplify right side
    841.94x = 324,570.66
  5. Step 5: Solve for x
    x = 324,570.66/841.94
  6. Step 6: Final answer
    x = 385.51

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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.