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Finding the Fourth Proportional to 1,174.30, 1,759.98 and 1,027.70

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Solution

The fourth proportional to 1,174.30, 1,759.98 and 1,027.70 is: 1,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.30 : 1,759.98 = 1,027.70 : x
  2. Step 2: Convert to fraction form
    1,174.30/1,759.98 = 1,027.70/x
  3. Step 3: Cross multiply
    1,174.30x = 1,759.98 × 1,027.70
  4. Step 4: Simplify right side
    1,174.30x = 1,808,731.45
  5. Step 5: Solve for x
    x = 1,808,731.45/1,174.30
  6. Step 6: Final answer
    x = 1,540.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.