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Finding the Fourth Proportional to 843.87, 1,164.53 and 470.84

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Solution

The fourth proportional to 843.87, 1,164.53 and 470.84 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.87 : 1,164.53 = 470.84 : x
  2. Step 2: Convert to fraction form
    843.87/1,164.53 = 470.84/x
  3. Step 3: Cross multiply
    843.87x = 1,164.53 × 470.84
  4. Step 4: Simplify right side
    843.87x = 548,299.13
  5. Step 5: Solve for x
    x = 548,299.13/843.87
  6. Step 6: Final answer
    x = 649.74

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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.