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Finding the Fourth Proportional to 949.64, 1,421.54 and 828.14

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Solution

The fourth proportional to 949.64, 1,421.54 and 828.14 is: 1,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.64 : 1,421.54 = 828.14 : x
  2. Step 2: Convert to fraction form
    949.64/1,421.54 = 828.14/x
  3. Step 3: Cross multiply
    949.64x = 1,421.54 × 828.14
  4. Step 4: Simplify right side
    949.64x = 1,177,229.99
  5. Step 5: Solve for x
    x = 1,177,229.99/949.64
  6. Step 6: Final answer
    x = 1,239.66

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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.