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Finding the Fourth Proportional to 940.60, 1,410.90 and 767.80

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Solution

The fourth proportional to 940.60, 1,410.90 and 767.80 is: 1,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.60 : 1,410.90 = 767.80 : x
  2. Step 2: Convert to fraction form
    940.60/1,410.90 = 767.80/x
  3. Step 3: Cross multiply
    940.60x = 1,410.90 × 767.80
  4. Step 4: Simplify right side
    940.60x = 1,083,289.02
  5. Step 5: Solve for x
    x = 1,083,289.02/940.60
  6. Step 6: Final answer
    x = 1,151.70

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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.