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Finding the Fourth Proportional to 863.36, 1,191.26 and 509.20

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Solution

The fourth proportional to 863.36, 1,191.26 and 509.20 is: 702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.36 : 1,191.26 = 509.20 : x
  2. Step 2: Convert to fraction form
    863.36/1,191.26 = 509.20/x
  3. Step 3: Cross multiply
    863.36x = 1,191.26 × 509.20
  4. Step 4: Simplify right side
    863.36x = 606,589.59
  5. Step 5: Solve for x
    x = 606,589.59/863.36
  6. Step 6: Final answer
    x = 702.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.