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Finding the Fourth Proportional to 838.35, 1,256.16 and 513.03

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Solution

The fourth proportional to 838.35, 1,256.16 and 513.03 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.35 : 1,256.16 = 513.03 : x
  2. Step 2: Convert to fraction form
    838.35/1,256.16 = 513.03/x
  3. Step 3: Cross multiply
    838.35x = 1,256.16 × 513.03
  4. Step 4: Simplify right side
    838.35x = 644,451.51
  5. Step 5: Solve for x
    x = 644,451.51/838.35
  6. Step 6: Final answer
    x = 768.71

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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.