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Finding the Fourth Proportional to 965.78, 1,447.91 and 800.74

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Solution

The fourth proportional to 965.78, 1,447.91 and 800.74 is: 1,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.78 : 1,447.91 = 800.74 : x
  2. Step 2: Convert to fraction form
    965.78/1,447.91 = 800.74/x
  3. Step 3: Cross multiply
    965.78x = 1,447.91 × 800.74
  4. Step 4: Simplify right side
    965.78x = 1,159,399.45
  5. Step 5: Solve for x
    x = 1,159,399.45/965.78
  6. Step 6: Final answer
    x = 1,200.49

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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.