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Finding the Fourth Proportional to 583.82, 871.29 and 544.94

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Solution

The fourth proportional to 583.82, 871.29 and 544.94 is: 813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 871.29 = 544.94 : x
  2. Step 2: Convert to fraction form
    583.82/871.29 = 544.94/x
  3. Step 3: Cross multiply
    583.82x = 871.29 × 544.94
  4. Step 4: Simplify right side
    583.82x = 474,800.77
  5. Step 5: Solve for x
    x = 474,800.77/583.82
  6. Step 6: Final answer
    x = 813.27

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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.