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Finding the Fourth Proportional to 790.49, 1,090.82 and 436.39

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Solution

The fourth proportional to 790.49, 1,090.82 and 436.39 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.49 : 1,090.82 = 436.39 : x
  2. Step 2: Convert to fraction form
    790.49/1,090.82 = 436.39/x
  3. Step 3: Cross multiply
    790.49x = 1,090.82 × 436.39
  4. Step 4: Simplify right side
    790.49x = 476,022.94
  5. Step 5: Solve for x
    x = 476,022.94/790.49
  6. Step 6: Final answer
    x = 602.19

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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.