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Finding the Fourth Proportional to 919.40, 1,379.10 and 627.80

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Solution

The fourth proportional to 919.40, 1,379.10 and 627.80 is: 941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.40 : 1,379.10 = 627.80 : x
  2. Step 2: Convert to fraction form
    919.40/1,379.10 = 627.80/x
  3. Step 3: Cross multiply
    919.40x = 1,379.10 × 627.80
  4. Step 4: Simplify right side
    919.40x = 865,798.98
  5. Step 5: Solve for x
    x = 865,798.98/919.40
  6. Step 6: Final answer
    x = 941.70

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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.