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Finding the Fourth Proportional to 919.35, 1,379.03 and 677.57

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Solution

The fourth proportional to 919.35, 1,379.03 and 677.57 is: 1,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.35 : 1,379.03 = 677.57 : x
  2. Step 2: Convert to fraction form
    919.35/1,379.03 = 677.57/x
  3. Step 3: Cross multiply
    919.35x = 1,379.03 × 677.57
  4. Step 4: Simplify right side
    919.35x = 934,379.07
  5. Step 5: Solve for x
    x = 934,379.07/919.35
  6. Step 6: Final answer
    x = 1,016.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.