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Finding the Fourth Proportional to 1,104.38, 1,524.12 and 607.06

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Solution

The fourth proportional to 1,104.38, 1,524.12 and 607.06 is: 837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.38 : 1,524.12 = 607.06 : x
  2. Step 2: Convert to fraction form
    1,104.38/1,524.12 = 607.06/x
  3. Step 3: Cross multiply
    1,104.38x = 1,524.12 × 607.06
  4. Step 4: Simplify right side
    1,104.38x = 925,231.92
  5. Step 5: Solve for x
    x = 925,231.92/1,104.38
  6. Step 6: Final answer
    x = 837.78

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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.