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Finding the Fourth Proportional to 1,256.09, 1,884.13 and 823.14

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Solution

The fourth proportional to 1,256.09, 1,884.13 and 823.14 is: 1,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.09 : 1,884.13 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,256.09/1,884.13 = 823.14/x
  3. Step 3: Cross multiply
    1,256.09x = 1,884.13 × 823.14
  4. Step 4: Simplify right side
    1,256.09x = 1,550,900.71
  5. Step 5: Solve for x
    x = 1,550,900.71/1,256.09
  6. Step 6: Final answer
    x = 1,234.71

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Similar ratio
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1.5x scale

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.