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Finding the Fourth Proportional to 1,149.98, 1,584.90 and 854.73

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Solution

The fourth proportional to 1,149.98, 1,584.90 and 854.73 is: 1,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.98 : 1,584.90 = 854.73 : x
  2. Step 2: Convert to fraction form
    1,149.98/1,584.90 = 854.73/x
  3. Step 3: Cross multiply
    1,149.98x = 1,584.90 × 854.73
  4. Step 4: Simplify right side
    1,149.98x = 1,354,661.58
  5. Step 5: Solve for x
    x = 1,354,661.58/1,149.98
  6. Step 6: Final answer
    x = 1,177.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.