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Finding the Fourth Proportional to 1,103.66, 1,523.09 and 606.34

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Solution

The fourth proportional to 1,103.66, 1,523.09 and 606.34 is: 836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.66 : 1,523.09 = 606.34 : x
  2. Step 2: Convert to fraction form
    1,103.66/1,523.09 = 606.34/x
  3. Step 3: Cross multiply
    1,103.66x = 1,523.09 × 606.34
  4. Step 4: Simplify right side
    1,103.66x = 923,513.81
  5. Step 5: Solve for x
    x = 923,513.81/1,103.66
  6. Step 6: Final answer
    x = 836.77

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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.