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Finding the Fourth Proportional to 592.86, 819.06 and 551.88

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Solution

The fourth proportional to 592.86, 819.06 and 551.88 is: 762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.86 : 819.06 = 551.88 : x
  2. Step 2: Convert to fraction form
    592.86/819.06 = 551.88/x
  3. Step 3: Cross multiply
    592.86x = 819.06 × 551.88
  4. Step 4: Simplify right side
    592.86x = 452,022.83
  5. Step 5: Solve for x
    x = 452,022.83/592.86
  6. Step 6: Final answer
    x = 762.44

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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.