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Finding the Fourth Proportional to 694.88, 1,042.19 and 256.06

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Solution

The fourth proportional to 694.88, 1,042.19 and 256.06 is: 384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.88 : 1,042.19 = 256.06 : x
  2. Step 2: Convert to fraction form
    694.88/1,042.19 = 256.06/x
  3. Step 3: Cross multiply
    694.88x = 1,042.19 × 256.06
  4. Step 4: Simplify right side
    694.88x = 266,859.29
  5. Step 5: Solve for x
    x = 266,859.29/694.88
  6. Step 6: Final answer
    x = 384.04

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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.