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Finding the Fourth Proportional to 919.09, 1,377.41 and 431.12

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Solution

The fourth proportional to 919.09, 1,377.41 and 431.12 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.09 : 1,377.41 = 431.12 : x
  2. Step 2: Convert to fraction form
    919.09/1,377.41 = 431.12/x
  3. Step 3: Cross multiply
    919.09x = 1,377.41 × 431.12
  4. Step 4: Simplify right side
    919.09x = 593,829.00
  5. Step 5: Solve for x
    x = 593,829.00/919.09
  6. Step 6: Final answer
    x = 646.11

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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.