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Finding the Fourth Proportional to 583.94, 871.12 and 568.05

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Solution

The fourth proportional to 583.94, 871.12 and 568.05 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 871.12 = 568.05 : x
  2. Step 2: Convert to fraction form
    583.94/871.12 = 568.05/x
  3. Step 3: Cross multiply
    583.94x = 871.12 × 568.05
  4. Step 4: Simplify right side
    583.94x = 494,836.09
  5. Step 5: Solve for x
    x = 494,836.09/583.94
  6. Step 6: Final answer
    x = 847.42

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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.