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Finding the Fourth Proportional to 592.83, 890.33 and 519.93

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Solution

The fourth proportional to 592.83, 890.33 and 519.93 is: 780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.83 : 890.33 = 519.93 : x
  2. Step 2: Convert to fraction form
    592.83/890.33 = 519.93/x
  3. Step 3: Cross multiply
    592.83x = 890.33 × 519.93
  4. Step 4: Simplify right side
    592.83x = 462,906.68
  5. Step 5: Solve for x
    x = 462,906.68/592.83
  6. Step 6: Final answer
    x = 780.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.