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Finding the Fourth Proportional to 790.97, 1,091.34 and 643.34

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Solution

The fourth proportional to 790.97, 1,091.34 and 643.34 is: 887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.97 : 1,091.34 = 643.34 : x
  2. Step 2: Convert to fraction form
    790.97/1,091.34 = 643.34/x
  3. Step 3: Cross multiply
    790.97x = 1,091.34 × 643.34
  4. Step 4: Simplify right side
    790.97x = 702,105.40
  5. Step 5: Solve for x
    x = 702,105.40/790.97
  6. Step 6: Final answer
    x = 887.66

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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.