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Finding the Fourth Proportional to 583.62, 871.16 and 514.43

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Solution

The fourth proportional to 583.62, 871.16 and 514.43 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.62 : 871.16 = 514.43 : x
  2. Step 2: Convert to fraction form
    583.62/871.16 = 514.43/x
  3. Step 3: Cross multiply
    583.62x = 871.16 × 514.43
  4. Step 4: Simplify right side
    583.62x = 448,145.84
  5. Step 5: Solve for x
    x = 448,145.84/583.62
  6. Step 6: Final answer
    x = 767.87

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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.