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Finding the Fourth Proportional to 965.78, 1,447.80 and 388.52

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Solution

The fourth proportional to 965.78, 1,447.80 and 388.52 is: 582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.78 : 1,447.80 = 388.52 : x
  2. Step 2: Convert to fraction form
    965.78/1,447.80 = 388.52/x
  3. Step 3: Cross multiply
    965.78x = 1,447.80 × 388.52
  4. Step 4: Simplify right side
    965.78x = 562,499.26
  5. Step 5: Solve for x
    x = 562,499.26/965.78
  6. Step 6: Final answer
    x = 582.43

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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.