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Finding the Fourth Proportional to 790.85, 1,090.58 and 511.23

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Solution

The fourth proportional to 790.85, 1,090.58 and 511.23 is: 704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.85 : 1,090.58 = 511.23 : x
  2. Step 2: Convert to fraction form
    790.85/1,090.58 = 511.23/x
  3. Step 3: Cross multiply
    790.85x = 1,090.58 × 511.23
  4. Step 4: Simplify right side
    790.85x = 557,538.49
  5. Step 5: Solve for x
    x = 557,538.49/790.85
  6. Step 6: Final answer
    x = 704.98

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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.