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Finding the Fourth Proportional to 965.87, 1,447.53 and 445.79

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Solution

The fourth proportional to 965.87, 1,447.53 and 445.79 is: 668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.87 : 1,447.53 = 445.79 : x
  2. Step 2: Convert to fraction form
    965.87/1,447.53 = 445.79/x
  3. Step 3: Cross multiply
    965.87x = 1,447.53 × 445.79
  4. Step 4: Simplify right side
    965.87x = 645,298.02
  5. Step 5: Solve for x
    x = 645,298.02/965.87
  6. Step 6: Final answer
    x = 668.10

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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.