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Finding the Fourth Proportional to 639.10, 957.06 and 523.83

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Solution

The fourth proportional to 639.10, 957.06 and 523.83 is: 784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.10 : 957.06 = 523.83 : x
  2. Step 2: Convert to fraction form
    639.10/957.06 = 523.83/x
  3. Step 3: Cross multiply
    639.10x = 957.06 × 523.83
  4. Step 4: Simplify right side
    639.10x = 501,336.74
  5. Step 5: Solve for x
    x = 501,336.74/639.10
  6. Step 6: Final answer
    x = 784.44

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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.