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Finding the Fourth Proportional to 965.62, 1,447.44 and 388.90

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Solution

The fourth proportional to 965.62, 1,447.44 and 388.90 is: 582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.62 : 1,447.44 = 388.90 : x
  2. Step 2: Convert to fraction form
    965.62/1,447.44 = 388.90/x
  3. Step 3: Cross multiply
    965.62x = 1,447.44 × 388.90
  4. Step 4: Simplify right side
    965.62x = 562,909.42
  5. Step 5: Solve for x
    x = 562,909.42/965.62
  6. Step 6: Final answer
    x = 582.95

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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.