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Finding the Fourth Proportional to 583.92, 871.44 and 519.12

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Solution

The fourth proportional to 583.92, 871.44 and 519.12 is: 774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 871.44 = 519.12 : x
  2. Step 2: Convert to fraction form
    583.92/871.44 = 519.12/x
  3. Step 3: Cross multiply
    583.92x = 871.44 × 519.12
  4. Step 4: Simplify right side
    583.92x = 452,381.93
  5. Step 5: Solve for x
    x = 452,381.93/583.92
  6. Step 6: Final answer
    x = 774.73

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