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Finding the Fourth Proportional to 919.65, 1,377.90 and 431.70

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Solution

The fourth proportional to 919.65, 1,377.90 and 431.70 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.65 : 1,377.90 = 431.70 : x
  2. Step 2: Convert to fraction form
    919.65/1,377.90 = 431.70/x
  3. Step 3: Cross multiply
    919.65x = 1,377.90 × 431.70
  4. Step 4: Simplify right side
    919.65x = 594,839.43
  5. Step 5: Solve for x
    x = 594,839.43/919.65
  6. Step 6: Final answer
    x = 646.81

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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.