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Finding the Fourth Proportional to 1,749.69, 2,623.86 and 709.44

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Solution

The fourth proportional to 1,749.69, 2,623.86 and 709.44 is: 1,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.69 : 2,623.86 = 709.44 : x
  2. Step 2: Convert to fraction form
    1,749.69/2,623.86 = 709.44/x
  3. Step 3: Cross multiply
    1,749.69x = 2,623.86 × 709.44
  4. Step 4: Simplify right side
    1,749.69x = 1,861,471.24
  5. Step 5: Solve for x
    x = 1,861,471.24/1,749.69
  6. Step 6: Final answer
    x = 1,063.89

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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.