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Finding the Fourth Proportional to 852.96, 1,176.36 and 616.44

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Solution

The fourth proportional to 852.96, 1,176.36 and 616.44 is: 850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.96 : 1,176.36 = 616.44 : x
  2. Step 2: Convert to fraction form
    852.96/1,176.36 = 616.44/x
  3. Step 3: Cross multiply
    852.96x = 1,176.36 × 616.44
  4. Step 4: Simplify right side
    852.96x = 725,155.36
  5. Step 5: Solve for x
    x = 725,155.36/852.96
  6. Step 6: Final answer
    x = 850.16

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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.