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Finding the Fourth Proportional to 613.94, 919.67 and 510.90

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Solution

The fourth proportional to 613.94, 919.67 and 510.90 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.94 : 919.67 = 510.90 : x
  2. Step 2: Convert to fraction form
    613.94/919.67 = 510.90/x
  3. Step 3: Cross multiply
    613.94x = 919.67 × 510.90
  4. Step 4: Simplify right side
    613.94x = 469,856.85
  5. Step 5: Solve for x
    x = 469,856.85/613.94
  6. Step 6: Final answer
    x = 765.31

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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.