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Finding the Fourth Proportional to 1,104.73, 1,524.58 and 607.39

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Solution

The fourth proportional to 1,104.73, 1,524.58 and 607.39 is: 838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.73 : 1,524.58 = 607.39 : x
  2. Step 2: Convert to fraction form
    1,104.73/1,524.58 = 607.39/x
  3. Step 3: Cross multiply
    1,104.73x = 1,524.58 × 607.39
  4. Step 4: Simplify right side
    1,104.73x = 926,011.61
  5. Step 5: Solve for x
    x = 926,011.61/1,104.73
  6. Step 6: Final answer
    x = 838.22

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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.