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Finding the Fourth Proportional to 1,147.01, 1,584.29 and 1,129.73

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Solution

The fourth proportional to 1,147.01, 1,584.29 and 1,129.73 is: 1,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.01 : 1,584.29 = 1,129.73 : x
  2. Step 2: Convert to fraction form
    1,147.01/1,584.29 = 1,129.73/x
  3. Step 3: Cross multiply
    1,147.01x = 1,584.29 × 1,129.73
  4. Step 4: Simplify right side
    1,147.01x = 1,789,814.84
  5. Step 5: Solve for x
    x = 1,789,814.84/1,147.01
  6. Step 6: Final answer
    x = 1,560.42

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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.