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Finding the Fourth Proportional to 957.76, 1,441.54 and 816.80

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Solution

The fourth proportional to 957.76, 1,441.54 and 816.80 is: 1,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 1,441.54 = 816.80 : x
  2. Step 2: Convert to fraction form
    957.76/1,441.54 = 816.80/x
  3. Step 3: Cross multiply
    957.76x = 1,441.54 × 816.80
  4. Step 4: Simplify right side
    957.76x = 1,177,449.87
  5. Step 5: Solve for x
    x = 1,177,449.87/957.76
  6. Step 6: Final answer
    x = 1,229.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.