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Finding the Fourth Proportional to 863.57, 1,191.67 and 509.50

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Solution

The fourth proportional to 863.57, 1,191.67 and 509.50 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.57 : 1,191.67 = 509.50 : x
  2. Step 2: Convert to fraction form
    863.57/1,191.67 = 509.50/x
  3. Step 3: Cross multiply
    863.57x = 1,191.67 × 509.50
  4. Step 4: Simplify right side
    863.57x = 607,159.43
  5. Step 5: Solve for x
    x = 607,159.43/863.57
  6. Step 6: Final answer
    x = 703.08

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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.