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Finding the Fourth Proportional to 790.04, 1,090.31 and 440.73

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Solution

The fourth proportional to 790.04, 1,090.31 and 440.73 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.04 : 1,090.31 = 440.73 : x
  2. Step 2: Convert to fraction form
    790.04/1,090.31 = 440.73/x
  3. Step 3: Cross multiply
    790.04x = 1,090.31 × 440.73
  4. Step 4: Simplify right side
    790.04x = 480,530.12
  5. Step 5: Solve for x
    x = 480,530.12/790.04
  6. Step 6: Final answer
    x = 608.23

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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.