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Finding the Fourth Proportional to 919.10, 1,379.26 and 508.52

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Solution

The fourth proportional to 919.10, 1,379.26 and 508.52 is: 763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.10 : 1,379.26 = 508.52 : x
  2. Step 2: Convert to fraction form
    919.10/1,379.26 = 508.52/x
  3. Step 3: Cross multiply
    919.10x = 1,379.26 × 508.52
  4. Step 4: Simplify right side
    919.10x = 701,381.30
  5. Step 5: Solve for x
    x = 701,381.30/919.10
  6. Step 6: Final answer
    x = 763.12

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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.