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Finding the Fourth Proportional to 819.86, 1,131.50 and 470.57

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Solution

The fourth proportional to 819.86, 1,131.50 and 470.57 is: 649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.86 : 1,131.50 = 470.57 : x
  2. Step 2: Convert to fraction form
    819.86/1,131.50 = 470.57/x
  3. Step 3: Cross multiply
    819.86x = 1,131.50 × 470.57
  4. Step 4: Simplify right side
    819.86x = 532,445.47
  5. Step 5: Solve for x
    x = 532,445.47/819.86
  6. Step 6: Final answer
    x = 649.44

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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.