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Finding the Fourth Proportional to 863.27, 1,191.46 and 509.16

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Solution

The fourth proportional to 863.27, 1,191.46 and 509.16 is: 702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.27 : 1,191.46 = 509.16 : x
  2. Step 2: Convert to fraction form
    863.27/1,191.46 = 509.16/x
  3. Step 3: Cross multiply
    863.27x = 1,191.46 × 509.16
  4. Step 4: Simplify right side
    863.27x = 606,642.50
  5. Step 5: Solve for x
    x = 606,642.50/863.27
  6. Step 6: Final answer
    x = 702.73

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Double scale
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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.