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Finding the Fourth Proportional to 693.42, 950.14 and 687.02

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Solution

The fourth proportional to 693.42, 950.14 and 687.02 is: 941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.42 : 950.14 = 687.02 : x
  2. Step 2: Convert to fraction form
    693.42/950.14 = 687.02/x
  3. Step 3: Cross multiply
    693.42x = 950.14 × 687.02
  4. Step 4: Simplify right side
    693.42x = 652,765.18
  5. Step 5: Solve for x
    x = 652,765.18/693.42
  6. Step 6: Final answer
    x = 941.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.