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Finding the Fourth Proportional to 956.40, 1,435 and 523.05

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Solution

The fourth proportional to 956.40, 1,435 and 523.05 is: 784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.40 : 1,435 = 523.05 : x
  2. Step 2: Convert to fraction form
    956.40/1,435 = 523.05/x
  3. Step 3: Cross multiply
    956.40x = 1,435 × 523.05
  4. Step 4: Simplify right side
    956.40x = 750,576.75
  5. Step 5: Solve for x
    x = 750,576.75/956.40
  6. Step 6: Final answer
    x = 784.79

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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.