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Finding the Fourth Proportional to 613.26, 925.20 and 582.93

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Solution

The fourth proportional to 613.26, 925.20 and 582.93 is: 879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 925.20 = 582.93 : x
  2. Step 2: Convert to fraction form
    613.26/925.20 = 582.93/x
  3. Step 3: Cross multiply
    613.26x = 925.20 × 582.93
  4. Step 4: Simplify right side
    613.26x = 539,326.84
  5. Step 5: Solve for x
    x = 539,326.84/613.26
  6. Step 6: Final answer
    x = 879.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.