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Finding the Fourth Proportional to 1,103.77, 1,523.14 and 606.31

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Solution

The fourth proportional to 1,103.77, 1,523.14 and 606.31 is: 836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.77 : 1,523.14 = 606.31 : x
  2. Step 2: Convert to fraction form
    1,103.77/1,523.14 = 606.31/x
  3. Step 3: Cross multiply
    1,103.77x = 1,523.14 × 606.31
  4. Step 4: Simplify right side
    1,103.77x = 923,493.10
  5. Step 5: Solve for x
    x = 923,493.10/1,103.77
  6. Step 6: Final answer
    x = 836.67

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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.