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Finding the Fourth Proportional to 1,110.88, 1,532.94 and 613.42

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Solution

The fourth proportional to 1,110.88, 1,532.94 and 613.42 is: 846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.88 : 1,532.94 = 613.42 : x
  2. Step 2: Convert to fraction form
    1,110.88/1,532.94 = 613.42/x
  3. Step 3: Cross multiply
    1,110.88x = 1,532.94 × 613.42
  4. Step 4: Simplify right side
    1,110.88x = 940,336.05
  5. Step 5: Solve for x
    x = 940,336.05/1,110.88
  6. Step 6: Final answer
    x = 846.48

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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.