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Finding the Fourth Proportional to 1,104.69, 1,524.49 and 607.38

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Solution

The fourth proportional to 1,104.69, 1,524.49 and 607.38 is: 838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.69 : 1,524.49 = 607.38 : x
  2. Step 2: Convert to fraction form
    1,104.69/1,524.49 = 607.38/x
  3. Step 3: Cross multiply
    1,104.69x = 1,524.49 × 607.38
  4. Step 4: Simplify right side
    1,104.69x = 925,944.74
  5. Step 5: Solve for x
    x = 925,944.74/1,104.69
  6. Step 6: Final answer
    x = 838.19

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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.