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Finding the Fourth Proportional to 863.47, 1,191.57 and 470.50

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Solution

The fourth proportional to 863.47, 1,191.57 and 470.50 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.47 : 1,191.57 = 470.50 : x
  2. Step 2: Convert to fraction form
    863.47/1,191.57 = 470.50/x
  3. Step 3: Cross multiply
    863.47x = 1,191.57 × 470.50
  4. Step 4: Simplify right side
    863.47x = 560,628.94
  5. Step 5: Solve for x
    x = 560,628.94/863.47
  6. Step 6: Final answer
    x = 649.27

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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.