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Finding the Fourth Proportional to 925.44, 1,389.12 and 829.44

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Solution

The fourth proportional to 925.44, 1,389.12 and 829.44 is: 1,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.44 : 1,389.12 = 829.44 : x
  2. Step 2: Convert to fraction form
    925.44/1,389.12 = 829.44/x
  3. Step 3: Cross multiply
    925.44x = 1,389.12 × 829.44
  4. Step 4: Simplify right side
    925.44x = 1,152,191.69
  5. Step 5: Solve for x
    x = 1,152,191.69/925.44
  6. Step 6: Final answer
    x = 1,245.02

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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.