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Finding the Fourth Proportional to 939.77, 1,410.02 and 680.10

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Solution

The fourth proportional to 939.77, 1,410.02 and 680.10 is: 1,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.77 : 1,410.02 = 680.10 : x
  2. Step 2: Convert to fraction form
    939.77/1,410.02 = 680.10/x
  3. Step 3: Cross multiply
    939.77x = 1,410.02 × 680.10
  4. Step 4: Simplify right side
    939.77x = 958,954.60
  5. Step 5: Solve for x
    x = 958,954.60/939.77
  6. Step 6: Final answer
    x = 1,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.