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Finding the Fourth Proportional to 843.65, 1,164.23 and 470.63

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Solution

The fourth proportional to 843.65, 1,164.23 and 470.63 is: 649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.65 : 1,164.23 = 470.63 : x
  2. Step 2: Convert to fraction form
    843.65/1,164.23 = 470.63/x
  3. Step 3: Cross multiply
    843.65x = 1,164.23 × 470.63
  4. Step 4: Simplify right side
    843.65x = 547,913.39
  5. Step 5: Solve for x
    x = 547,913.39/843.65
  6. Step 6: Final answer
    x = 649.46

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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.