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Finding the Fourth Proportional to 957.79, 1,433.87 and 727.58

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Solution

The fourth proportional to 957.79, 1,433.87 and 727.58 is: 1,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.79 : 1,433.87 = 727.58 : x
  2. Step 2: Convert to fraction form
    957.79/1,433.87 = 727.58/x
  3. Step 3: Cross multiply
    957.79x = 1,433.87 × 727.58
  4. Step 4: Simplify right side
    957.79x = 1,043,257.81
  5. Step 5: Solve for x
    x = 1,043,257.81/957.79
  6. Step 6: Final answer
    x = 1,089.23

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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.