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Finding the Fourth Proportional to 592.82, 884.66 and 520.83

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Solution

The fourth proportional to 592.82, 884.66 and 520.83 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.82 : 884.66 = 520.83 : x
  2. Step 2: Convert to fraction form
    592.82/884.66 = 520.83/x
  3. Step 3: Cross multiply
    592.82x = 884.66 × 520.83
  4. Step 4: Simplify right side
    592.82x = 460,758.77
  5. Step 5: Solve for x
    x = 460,758.77/592.82
  6. Step 6: Final answer
    x = 777.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.