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Finding the Fourth Proportional to 666.84, 997.80 and 650.64

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Solution

The fourth proportional to 666.84, 997.80 and 650.64 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 997.80 = 650.64 : x
  2. Step 2: Convert to fraction form
    666.84/997.80 = 650.64/x
  3. Step 3: Cross multiply
    666.84x = 997.80 × 650.64
  4. Step 4: Simplify right side
    666.84x = 649,208.59
  5. Step 5: Solve for x
    x = 649,208.59/666.84
  6. Step 6: Final answer
    x = 973.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.