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Finding the Fourth Proportional to 790.40, 1,090.84 and 441.12

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Solution

The fourth proportional to 790.40, 1,090.84 and 441.12 is: 608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.40 : 1,090.84 = 441.12 : x
  2. Step 2: Convert to fraction form
    790.40/1,090.84 = 441.12/x
  3. Step 3: Cross multiply
    790.40x = 1,090.84 × 441.12
  4. Step 4: Simplify right side
    790.40x = 481,191.34
  5. Step 5: Solve for x
    x = 481,191.34/790.40
  6. Step 6: Final answer
    x = 608.79

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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.