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Finding the Fourth Proportional to 919.92, 1,379.07 and 509.25

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Solution

The fourth proportional to 919.92, 1,379.07 and 509.25 is: 763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.92 : 1,379.07 = 509.25 : x
  2. Step 2: Convert to fraction form
    919.92/1,379.07 = 509.25/x
  3. Step 3: Cross multiply
    919.92x = 1,379.07 × 509.25
  4. Step 4: Simplify right side
    919.92x = 702,291.40
  5. Step 5: Solve for x
    x = 702,291.40/919.92
  6. Step 6: Final answer
    x = 763.43

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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.