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Finding the Fourth Proportional to 957.24, 1,434.78 and 523.08

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Solution

The fourth proportional to 957.24, 1,434.78 and 523.08 is: 784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.24 : 1,434.78 = 523.08 : x
  2. Step 2: Convert to fraction form
    957.24/1,434.78 = 523.08/x
  3. Step 3: Cross multiply
    957.24x = 1,434.78 × 523.08
  4. Step 4: Simplify right side
    957.24x = 750,504.72
  5. Step 5: Solve for x
    x = 750,504.72/957.24
  6. Step 6: Final answer
    x = 784.03

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