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Finding the Fourth Proportional to 693.63, 957.01 and 394.88

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Solution

The fourth proportional to 693.63, 957.01 and 394.88 is: 544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.63 : 957.01 = 394.88 : x
  2. Step 2: Convert to fraction form
    693.63/957.01 = 394.88/x
  3. Step 3: Cross multiply
    693.63x = 957.01 × 394.88
  4. Step 4: Simplify right side
    693.63x = 377,909.13
  5. Step 5: Solve for x
    x = 377,909.13/693.63
  6. Step 6: Final answer
    x = 544.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.