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Finding the Fourth Proportional to 863.50, 1,191.63 and 509.53

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Solution

The fourth proportional to 863.50, 1,191.63 and 509.53 is: 703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.50 : 1,191.63 = 509.53 : x
  2. Step 2: Convert to fraction form
    863.50/1,191.63 = 509.53/x
  3. Step 3: Cross multiply
    863.50x = 1,191.63 × 509.53
  4. Step 4: Simplify right side
    863.50x = 607,171.23
  5. Step 5: Solve for x
    x = 607,171.23/863.50
  6. Step 6: Final answer
    x = 703.15

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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.