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Finding the Fourth Proportional to 967.53, 1,453.16 and 829.02

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Solution

The fourth proportional to 967.53, 1,453.16 and 829.02 is: 1,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.53 : 1,453.16 = 829.02 : x
  2. Step 2: Convert to fraction form
    967.53/1,453.16 = 829.02/x
  3. Step 3: Cross multiply
    967.53x = 1,453.16 × 829.02
  4. Step 4: Simplify right side
    967.53x = 1,204,700.78
  5. Step 5: Solve for x
    x = 1,204,700.78/967.53
  6. Step 6: Final answer
    x = 1,245.13

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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.