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Finding the Fourth Proportional to 843.54, 1,164.06 and 470.55

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Solution

The fourth proportional to 843.54, 1,164.06 and 470.55 is: 649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.54 : 1,164.06 = 470.55 : x
  2. Step 2: Convert to fraction form
    843.54/1,164.06 = 470.55/x
  3. Step 3: Cross multiply
    843.54x = 1,164.06 × 470.55
  4. Step 4: Simplify right side
    843.54x = 547,748.43
  5. Step 5: Solve for x
    x = 547,748.43/843.54
  6. Step 6: Final answer
    x = 649.34

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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.