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Finding the Fourth Proportional to 1,104.18, 1,523.74 and 606.80

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Solution

The fourth proportional to 1,104.18, 1,523.74 and 606.80 is: 837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.18 : 1,523.74 = 606.80 : x
  2. Step 2: Convert to fraction form
    1,104.18/1,523.74 = 606.80/x
  3. Step 3: Cross multiply
    1,104.18x = 1,523.74 × 606.80
  4. Step 4: Simplify right side
    1,104.18x = 924,605.43
  5. Step 5: Solve for x
    x = 924,605.43/1,104.18
  6. Step 6: Final answer
    x = 837.37

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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.