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Finding the Fourth Proportional to 950.90, 1,427.70 and 745.70

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Solution

The fourth proportional to 950.90, 1,427.70 and 745.70 is: 1,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.90 : 1,427.70 = 745.70 : x
  2. Step 2: Convert to fraction form
    950.90/1,427.70 = 745.70/x
  3. Step 3: Cross multiply
    950.90x = 1,427.70 × 745.70
  4. Step 4: Simplify right side
    950.90x = 1,064,635.89
  5. Step 5: Solve for x
    x = 1,064,635.89/950.90
  6. Step 6: Final answer
    x = 1,119.61

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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.