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Finding the Fourth Proportional to 863.41, 1,191.92 and 509.39

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Solution

The fourth proportional to 863.41, 1,191.92 and 509.39 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.41 : 1,191.92 = 509.39 : x
  2. Step 2: Convert to fraction form
    863.41/1,191.92 = 509.39/x
  3. Step 3: Cross multiply
    863.41x = 1,191.92 × 509.39
  4. Step 4: Simplify right side
    863.41x = 607,148.09
  5. Step 5: Solve for x
    x = 607,148.09/863.41
  6. Step 6: Final answer
    x = 703.20

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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.