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Finding the Fourth Proportional to 648.99, 969.08 and 533.67

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Solution

The fourth proportional to 648.99, 969.08 and 533.67 is: 796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.99 : 969.08 = 533.67 : x
  2. Step 2: Convert to fraction form
    648.99/969.08 = 533.67/x
  3. Step 3: Cross multiply
    648.99x = 969.08 × 533.67
  4. Step 4: Simplify right side
    648.99x = 517,166.26
  5. Step 5: Solve for x
    x = 517,166.26/648.99
  6. Step 6: Final answer
    x = 796.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.