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Finding the Fourth Proportional to 965.77, 1,451.87 and 784.43

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Solution

The fourth proportional to 965.77, 1,451.87 and 784.43 is: 1,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.77 : 1,451.87 = 784.43 : x
  2. Step 2: Convert to fraction form
    965.77/1,451.87 = 784.43/x
  3. Step 3: Cross multiply
    965.77x = 1,451.87 × 784.43
  4. Step 4: Simplify right side
    965.77x = 1,138,900.17
  5. Step 5: Solve for x
    x = 1,138,900.17/965.77
  6. Step 6: Final answer
    x = 1,179.26

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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.