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Finding the Fourth Proportional to 953.92, 1,428.74 and 828.92

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Solution

The fourth proportional to 953.92, 1,428.74 and 828.92 is: 1,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.92 : 1,428.74 = 828.92 : x
  2. Step 2: Convert to fraction form
    953.92/1,428.74 = 828.92/x
  3. Step 3: Cross multiply
    953.92x = 1,428.74 × 828.92
  4. Step 4: Simplify right side
    953.92x = 1,184,311.16
  5. Step 5: Solve for x
    x = 1,184,311.16/953.92
  6. Step 6: Final answer
    x = 1,241.52

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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.