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Finding the Fourth Proportional to 582.02, 871.95 and 517.22

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Solution

The fourth proportional to 582.02, 871.95 and 517.22 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 871.95 = 517.22 : x
  2. Step 2: Convert to fraction form
    582.02/871.95 = 517.22/x
  3. Step 3: Cross multiply
    582.02x = 871.95 × 517.22
  4. Step 4: Simplify right side
    582.02x = 450,989.98
  5. Step 5: Solve for x
    x = 450,989.98/582.02
  6. Step 6: Final answer
    x = 774.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.