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Finding the Fourth Proportional to 965.52, 1,446.12 and 782.19

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Solution

The fourth proportional to 965.52, 1,446.12 and 782.19 is: 1,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.52 : 1,446.12 = 782.19 : x
  2. Step 2: Convert to fraction form
    965.52/1,446.12 = 782.19/x
  3. Step 3: Cross multiply
    965.52x = 1,446.12 × 782.19
  4. Step 4: Simplify right side
    965.52x = 1,131,140.60
  5. Step 5: Solve for x
    x = 1,131,140.60/965.52
  6. Step 6: Final answer
    x = 1,171.54

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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.