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Finding the Fourth Proportional to 1,104.20, 1,523.83 and 606.89

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Solution

The fourth proportional to 1,104.20, 1,523.83 and 606.89 is: 837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.20 : 1,523.83 = 606.89 : x
  2. Step 2: Convert to fraction form
    1,104.20/1,523.83 = 606.89/x
  3. Step 3: Cross multiply
    1,104.20x = 1,523.83 × 606.89
  4. Step 4: Simplify right side
    1,104.20x = 924,797.19
  5. Step 5: Solve for x
    x = 924,797.19/1,104.20
  6. Step 6: Final answer
    x = 837.53

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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.