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Finding the Fourth Proportional to 819.63, 1,130.82 and 504.57

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Solution

The fourth proportional to 819.63, 1,130.82 and 504.57 is: 696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.63 : 1,130.82 = 504.57 : x
  2. Step 2: Convert to fraction form
    819.63/1,130.82 = 504.57/x
  3. Step 3: Cross multiply
    819.63x = 1,130.82 × 504.57
  4. Step 4: Simplify right side
    819.63x = 570,577.85
  5. Step 5: Solve for x
    x = 570,577.85/819.63
  6. Step 6: Final answer
    x = 696.14

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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.