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Finding the Fourth Proportional to 857.44, 1,183.14 and 484.36

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Solution

The fourth proportional to 857.44, 1,183.14 and 484.36 is: 668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,183.14 = 484.36 : x
  2. Step 2: Convert to fraction form
    857.44/1,183.14 = 484.36/x
  3. Step 3: Cross multiply
    857.44x = 1,183.14 × 484.36
  4. Step 4: Simplify right side
    857.44x = 573,065.69
  5. Step 5: Solve for x
    x = 573,065.69/857.44
  6. Step 6: Final answer
    x = 668.34

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Double scale
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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.