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Finding the Fourth Proportional to 790.30, 1,091.01 and 727.84

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Solution

The fourth proportional to 790.30, 1,091.01 and 727.84 is: 1,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.30 : 1,091.01 = 727.84 : x
  2. Step 2: Convert to fraction form
    790.30/1,091.01 = 727.84/x
  3. Step 3: Cross multiply
    790.30x = 1,091.01 × 727.84
  4. Step 4: Simplify right side
    790.30x = 794,080.72
  5. Step 5: Solve for x
    x = 794,080.72/790.30
  6. Step 6: Final answer
    x = 1,004.78

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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.