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Finding the Fourth Proportional to 965.58, 1,450.14 and 884.25

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Solution

The fourth proportional to 965.58, 1,450.14 and 884.25 is: 1,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.58 : 1,450.14 = 884.25 : x
  2. Step 2: Convert to fraction form
    965.58/1,450.14 = 884.25/x
  3. Step 3: Cross multiply
    965.58x = 1,450.14 × 884.25
  4. Step 4: Simplify right side
    965.58x = 1,282,286.30
  5. Step 5: Solve for x
    x = 1,282,286.30/965.58
  6. Step 6: Final answer
    x = 1,328.00

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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.