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Finding the Fourth Proportional to 693.20, 933.90 and 693.20

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Solution

The fourth proportional to 693.20, 933.90 and 693.20 is: 933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 933.90 = 693.20 : x
  2. Step 2: Convert to fraction form
    693.20/933.90 = 693.20/x
  3. Step 3: Cross multiply
    693.20x = 933.90 × 693.20
  4. Step 4: Simplify right side
    693.20x = 647,379.48
  5. Step 5: Solve for x
    x = 647,379.48/693.20
  6. Step 6: Final answer
    x = 933.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.