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Finding the Fourth Proportional to 1,104.41, 1,523.67 and 730.73

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Solution

The fourth proportional to 1,104.41, 1,523.67 and 730.73 is: 1,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.41 : 1,523.67 = 730.73 : x
  2. Step 2: Convert to fraction form
    1,104.41/1,523.67 = 730.73/x
  3. Step 3: Cross multiply
    1,104.41x = 1,523.67 × 730.73
  4. Step 4: Simplify right side
    1,104.41x = 1,113,391.38
  5. Step 5: Solve for x
    x = 1,113,391.38/1,104.41
  6. Step 6: Final answer
    x = 1,008.13

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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.