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Finding the Fourth Proportional to 852.11, 1,277.42 and 441.03

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Solution

The fourth proportional to 852.11, 1,277.42 and 441.03 is: 661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.11 : 1,277.42 = 441.03 : x
  2. Step 2: Convert to fraction form
    852.11/1,277.42 = 441.03/x
  3. Step 3: Cross multiply
    852.11x = 1,277.42 × 441.03
  4. Step 4: Simplify right side
    852.11x = 563,380.54
  5. Step 5: Solve for x
    x = 563,380.54/852.11
  6. Step 6: Final answer
    x = 661.16

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Double scale
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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.