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Finding the Fourth Proportional to 790.38, 1,090.78 and 441.14

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Solution

The fourth proportional to 790.38, 1,090.78 and 441.14 is: 608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.38 : 1,090.78 = 441.14 : x
  2. Step 2: Convert to fraction form
    790.38/1,090.78 = 441.14/x
  3. Step 3: Cross multiply
    790.38x = 1,090.78 × 441.14
  4. Step 4: Simplify right side
    790.38x = 481,186.69
  5. Step 5: Solve for x
    x = 481,186.69/790.38
  6. Step 6: Final answer
    x = 608.80

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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.