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Finding the Fourth Proportional to 709.05, 1,062.21 and 434.34

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Solution

The fourth proportional to 709.05, 1,062.21 and 434.34 is: 650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.05 : 1,062.21 = 434.34 : x
  2. Step 2: Convert to fraction form
    709.05/1,062.21 = 434.34/x
  3. Step 3: Cross multiply
    709.05x = 1,062.21 × 434.34
  4. Step 4: Simplify right side
    709.05x = 461,360.29
  5. Step 5: Solve for x
    x = 461,360.29/709.05
  6. Step 6: Final answer
    x = 650.67

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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.