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Finding the Fourth Proportional to 843.79, 1,164.46 and 470.77

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Solution

The fourth proportional to 843.79, 1,164.46 and 470.77 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.79 : 1,164.46 = 470.77 : x
  2. Step 2: Convert to fraction form
    843.79/1,164.46 = 470.77/x
  3. Step 3: Cross multiply
    843.79x = 1,164.46 × 470.77
  4. Step 4: Simplify right side
    843.79x = 548,189.64
  5. Step 5: Solve for x
    x = 548,189.64/843.79
  6. Step 6: Final answer
    x = 649.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.