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Finding the Fourth Proportional to 819.34, 1,128.90 and 556.90

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Solution

The fourth proportional to 819.34, 1,128.90 and 556.90 is: 767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.34 : 1,128.90 = 556.90 : x
  2. Step 2: Convert to fraction form
    819.34/1,128.90 = 556.90/x
  3. Step 3: Cross multiply
    819.34x = 1,128.90 × 556.90
  4. Step 4: Simplify right side
    819.34x = 628,684.41
  5. Step 5: Solve for x
    x = 628,684.41/819.34
  6. Step 6: Final answer
    x = 767.31

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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.