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Finding the Fourth Proportional to 863.64, 1,191.65 and 509.54

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Solution

The fourth proportional to 863.64, 1,191.65 and 509.54 is: 703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.64 : 1,191.65 = 509.54 : x
  2. Step 2: Convert to fraction form
    863.64/1,191.65 = 509.54/x
  3. Step 3: Cross multiply
    863.64x = 1,191.65 × 509.54
  4. Step 4: Simplify right side
    863.64x = 607,194.89
  5. Step 5: Solve for x
    x = 607,194.89/863.64
  6. Step 6: Final answer
    x = 703.06

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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.