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Finding the Fourth Proportional to 1,083.26, 1,494.98 and 604.74

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Solution

The fourth proportional to 1,083.26, 1,494.98 and 604.74 is: 834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.26 : 1,494.98 = 604.74 : x
  2. Step 2: Convert to fraction form
    1,083.26/1,494.98 = 604.74/x
  3. Step 3: Cross multiply
    1,083.26x = 1,494.98 × 604.74
  4. Step 4: Simplify right side
    1,083.26x = 904,074.21
  5. Step 5: Solve for x
    x = 904,074.21/1,083.26
  6. Step 6: Final answer
    x = 834.59

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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.