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Finding the Fourth Proportional to 839.84, 1,260.05 and 262.71

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Solution

The fourth proportional to 839.84, 1,260.05 and 262.71 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.84 : 1,260.05 = 262.71 : x
  2. Step 2: Convert to fraction form
    839.84/1,260.05 = 262.71/x
  3. Step 3: Cross multiply
    839.84x = 1,260.05 × 262.71
  4. Step 4: Simplify right side
    839.84x = 331,026.42
  5. Step 5: Solve for x
    x = 331,026.42/839.84
  6. Step 6: Final answer
    x = 394.16

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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.