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Finding the Fourth Proportional to 819.27, 1,130.33 and 504.36

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Solution

The fourth proportional to 819.27, 1,130.33 and 504.36 is: 695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.27 : 1,130.33 = 504.36 : x
  2. Step 2: Convert to fraction form
    819.27/1,130.33 = 504.36/x
  3. Step 3: Cross multiply
    819.27x = 1,130.33 × 504.36
  4. Step 4: Simplify right side
    819.27x = 570,090.72
  5. Step 5: Solve for x
    x = 570,090.72/819.27
  6. Step 6: Final answer
    x = 695.85

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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.