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Finding the Fourth Proportional to 843.84, 1,164.52 and 470.84

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Solution

The fourth proportional to 843.84, 1,164.52 and 470.84 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,164.52 = 470.84 : x
  2. Step 2: Convert to fraction form
    843.84/1,164.52 = 470.84/x
  3. Step 3: Cross multiply
    843.84x = 1,164.52 × 470.84
  4. Step 4: Simplify right side
    843.84x = 548,302.60
  5. Step 5: Solve for x
    x = 548,302.60/843.84
  6. Step 6: Final answer
    x = 649.77

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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.