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Finding the Fourth Proportional to 949.29, 1,305.38 and 824.73

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Solution

The fourth proportional to 949.29, 1,305.38 and 824.73 is: 1,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.29 : 1,305.38 = 824.73 : x
  2. Step 2: Convert to fraction form
    949.29/1,305.38 = 824.73/x
  3. Step 3: Cross multiply
    949.29x = 1,305.38 × 824.73
  4. Step 4: Simplify right side
    949.29x = 1,076,581.92
  5. Step 5: Solve for x
    x = 1,076,581.92/949.29
  6. Step 6: Final answer
    x = 1,134.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.