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Finding the Fourth Proportional to 693.80, 933.75 and 693.80

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Solution

The fourth proportional to 693.80, 933.75 and 693.80 is: 933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.80 : 933.75 = 693.80 : x
  2. Step 2: Convert to fraction form
    693.80/933.75 = 693.80/x
  3. Step 3: Cross multiply
    693.80x = 933.75 × 693.80
  4. Step 4: Simplify right side
    693.80x = 647,835.75
  5. Step 5: Solve for x
    x = 647,835.75/693.80
  6. Step 6: Final answer
    x = 933.75

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