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Finding the Fourth Proportional to 965.79, 1,441.69 and 826.36

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Solution

The fourth proportional to 965.79, 1,441.69 and 826.36 is: 1,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.79 : 1,441.69 = 826.36 : x
  2. Step 2: Convert to fraction form
    965.79/1,441.69 = 826.36/x
  3. Step 3: Cross multiply
    965.79x = 1,441.69 × 826.36
  4. Step 4: Simplify right side
    965.79x = 1,191,349.28
  5. Step 5: Solve for x
    x = 1,191,349.28/965.79
  6. Step 6: Final answer
    x = 1,233.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.