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Finding the Fourth Proportional to 851.87, 1,278.12 and 440.75

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Solution

The fourth proportional to 851.87, 1,278.12 and 440.75 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.87 : 1,278.12 = 440.75 : x
  2. Step 2: Convert to fraction form
    851.87/1,278.12 = 440.75/x
  3. Step 3: Cross multiply
    851.87x = 1,278.12 × 440.75
  4. Step 4: Simplify right side
    851.87x = 563,325.00
  5. Step 5: Solve for x
    x = 563,325.00/851.87
  6. Step 6: Final answer
    x = 661.28

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Double scale
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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.