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Finding the Fourth Proportional to 1,104.78, 1,524.56 and 607.42

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Solution

The fourth proportional to 1,104.78, 1,524.56 and 607.42 is: 838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.78 : 1,524.56 = 607.42 : x
  2. Step 2: Convert to fraction form
    1,104.78/1,524.56 = 607.42/x
  3. Step 3: Cross multiply
    1,104.78x = 1,524.56 × 607.42
  4. Step 4: Simplify right side
    1,104.78x = 926,048.24
  5. Step 5: Solve for x
    x = 926,048.24/1,104.78
  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.