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Finding the Fourth Proportional to 835.78, 1,253.67 and 451.78

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Solution

The fourth proportional to 835.78, 1,253.67 and 451.78 is: 677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.78 : 1,253.67 = 451.78 : x
  2. Step 2: Convert to fraction form
    835.78/1,253.67 = 451.78/x
  3. Step 3: Cross multiply
    835.78x = 1,253.67 × 451.78
  4. Step 4: Simplify right side
    835.78x = 566,383.03
  5. Step 5: Solve for x
    x = 566,383.03/835.78
  6. Step 6: Final answer
    x = 677.67

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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.