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Finding the Fourth Proportional to 613.25, 919.76 and 582.47

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Solution

The fourth proportional to 613.25, 919.76 and 582.47 is: 873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.25 : 919.76 = 582.47 : x
  2. Step 2: Convert to fraction form
    613.25/919.76 = 582.47/x
  3. Step 3: Cross multiply
    613.25x = 919.76 × 582.47
  4. Step 4: Simplify right side
    613.25x = 535,725.10
  5. Step 5: Solve for x
    x = 535,725.10/613.25
  6. Step 6: Final answer
    x = 873.59

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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.