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Finding the Fourth Proportional to 833.78, 1,250.67 and 256.66

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Solution

The fourth proportional to 833.78, 1,250.67 and 256.66 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.78 : 1,250.67 = 256.66 : x
  2. Step 2: Convert to fraction form
    833.78/1,250.67 = 256.66/x
  3. Step 3: Cross multiply
    833.78x = 1,250.67 × 256.66
  4. Step 4: Simplify right side
    833.78x = 320,996.96
  5. Step 5: Solve for x
    x = 320,996.96/833.78
  6. Step 6: Final answer
    x = 384.99

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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.