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Finding the Fourth Proportional to 697.87, 963 and 383.12

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Solution

The fourth proportional to 697.87, 963 and 383.12 is: 528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 963 = 383.12 : x
  2. Step 2: Convert to fraction form
    697.87/963 = 383.12/x
  3. Step 3: Cross multiply
    697.87x = 963 × 383.12
  4. Step 4: Simplify right side
    697.87x = 368,939.75
  5. Step 5: Solve for x
    x = 368,939.75/697.87
  6. Step 6: Final answer
    x = 528.67

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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.