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Finding the Fourth Proportional to 863.73, 1,191.56 and 509.41

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Solution

The fourth proportional to 863.73, 1,191.56 and 509.41 is: 702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,191.56 = 509.41 : x
  2. Step 2: Convert to fraction form
    863.73/1,191.56 = 509.41/x
  3. Step 3: Cross multiply
    863.73x = 1,191.56 × 509.41
  4. Step 4: Simplify right side
    863.73x = 606,991.52
  5. Step 5: Solve for x
    x = 606,991.52/863.73
  6. Step 6: Final answer
    x = 702.76

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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.