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Finding the Fourth Proportional to 819.71, 1,130.94 and 557.27

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Solution

The fourth proportional to 819.71, 1,130.94 and 557.27 is: 768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.71 : 1,130.94 = 557.27 : x
  2. Step 2: Convert to fraction form
    819.71/1,130.94 = 557.27/x
  3. Step 3: Cross multiply
    819.71x = 1,130.94 × 557.27
  4. Step 4: Simplify right side
    819.71x = 630,238.93
  5. Step 5: Solve for x
    x = 630,238.93/819.71
  6. Step 6: Final answer
    x = 768.86

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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.