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Finding the Fourth Proportional to 965.78, 1,449.24 and 388.64

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Solution

The fourth proportional to 965.78, 1,449.24 and 388.64 is: 583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.78 : 1,449.24 = 388.64 : x
  2. Step 2: Convert to fraction form
    965.78/1,449.24 = 388.64/x
  3. Step 3: Cross multiply
    965.78x = 1,449.24 × 388.64
  4. Step 4: Simplify right side
    965.78x = 563,232.63
  5. Step 5: Solve for x
    x = 563,232.63/965.78
  6. Step 6: Final answer
    x = 583.19

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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.