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Finding the Fourth Proportional to 1,104.09, 1,522.98 and 710.97

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Solution

The fourth proportional to 1,104.09, 1,522.98 and 710.97 is: 980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.09 : 1,522.98 = 710.97 : x
  2. Step 2: Convert to fraction form
    1,104.09/1,522.98 = 710.97/x
  3. Step 3: Cross multiply
    1,104.09x = 1,522.98 × 710.97
  4. Step 4: Simplify right side
    1,104.09x = 1,082,793.09
  5. Step 5: Solve for x
    x = 1,082,793.09/1,104.09
  6. Step 6: Final answer
    x = 980.71

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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.