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Finding the Fourth Proportional to 694.44, 955.53 and 678.03

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Solution

The fourth proportional to 694.44, 955.53 and 678.03 is: 932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.44 : 955.53 = 678.03 : x
  2. Step 2: Convert to fraction form
    694.44/955.53 = 678.03/x
  3. Step 3: Cross multiply
    694.44x = 955.53 × 678.03
  4. Step 4: Simplify right side
    694.44x = 647,878.01
  5. Step 5: Solve for x
    x = 647,878.01/694.44
  6. Step 6: Final answer
    x = 932.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.