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Finding the Fourth Proportional to 582.13, 871.08 and 501.94

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Solution

The fourth proportional to 582.13, 871.08 and 501.94 is: 751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 871.08 = 501.94 : x
  2. Step 2: Convert to fraction form
    582.13/871.08 = 501.94/x
  3. Step 3: Cross multiply
    582.13x = 871.08 × 501.94
  4. Step 4: Simplify right side
    582.13x = 437,229.90
  5. Step 5: Solve for x
    x = 437,229.90/582.13
  6. Step 6: Final answer
    x = 751.09

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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.