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Finding the Fourth Proportional to 1,104.26, 1,523.84 and 606.87

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Solution

The fourth proportional to 1,104.26, 1,523.84 and 606.87 is: 837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.26 : 1,523.84 = 606.87 : x
  2. Step 2: Convert to fraction form
    1,104.26/1,523.84 = 606.87/x
  3. Step 3: Cross multiply
    1,104.26x = 1,523.84 × 606.87
  4. Step 4: Simplify right side
    1,104.26x = 924,769.75
  5. Step 5: Solve for x
    x = 924,769.75/1,104.26
  6. Step 6: Final answer
    x = 837.46

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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.