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Finding the Fourth Proportional to 1,354.52, 1,869.26 and 794.68

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Solution

The fourth proportional to 1,354.52, 1,869.26 and 794.68 is: 1,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.52 : 1,869.26 = 794.68 : x
  2. Step 2: Convert to fraction form
    1,354.52/1,869.26 = 794.68/x
  3. Step 3: Cross multiply
    1,354.52x = 1,869.26 × 794.68
  4. Step 4: Simplify right side
    1,354.52x = 1,485,463.54
  5. Step 5: Solve for x
    x = 1,485,463.54/1,354.52
  6. Step 6: Final answer
    x = 1,096.67

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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.