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Finding the Fourth Proportional to 903.78, 1,349.12 and 794.43

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Solution

The fourth proportional to 903.78, 1,349.12 and 794.43 is: 1,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,349.12 = 794.43 : x
  2. Step 2: Convert to fraction form
    903.78/1,349.12 = 794.43/x
  3. Step 3: Cross multiply
    903.78x = 1,349.12 × 794.43
  4. Step 4: Simplify right side
    903.78x = 1,071,777.43
  5. Step 5: Solve for x
    x = 1,071,777.43/903.78
  6. Step 6: Final answer
    x = 1,185.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.