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Finding the Fourth Proportional to 851.78, 1,175.26 and 616.08

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Solution

The fourth proportional to 851.78, 1,175.26 and 616.08 is: 850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.78 : 1,175.26 = 616.08 : x
  2. Step 2: Convert to fraction form
    851.78/1,175.26 = 616.08/x
  3. Step 3: Cross multiply
    851.78x = 1,175.26 × 616.08
  4. Step 4: Simplify right side
    851.78x = 724,054.18
  5. Step 5: Solve for x
    x = 724,054.18/851.78
  6. Step 6: Final answer
    x = 850.05

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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.