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Finding the Fourth Proportional to 1,101.90, 1,520.62 and 604.56

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Solution

The fourth proportional to 1,101.90, 1,520.62 and 604.56 is: 834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.90 : 1,520.62 = 604.56 : x
  2. Step 2: Convert to fraction form
    1,101.90/1,520.62 = 604.56/x
  3. Step 3: Cross multiply
    1,101.90x = 1,520.62 × 604.56
  4. Step 4: Simplify right side
    1,101.90x = 919,306.03
  5. Step 5: Solve for x
    x = 919,306.03/1,101.90
  6. Step 6: Final answer
    x = 834.29

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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.