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Finding the Fourth Proportional to 1,081.78, 1,492.80 and 616

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Solution

The fourth proportional to 1,081.78, 1,492.80 and 616 is: 850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.78 : 1,492.80 = 616 : x
  2. Step 2: Convert to fraction form
    1,081.78/1,492.80 = 616/x
  3. Step 3: Cross multiply
    1,081.78x = 1,492.80 × 616
  4. Step 4: Simplify right side
    1,081.78x = 919,564.80
  5. Step 5: Solve for x
    x = 919,564.80/1,081.78
  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.