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Finding the Fourth Proportional to 644.40, 964.98 and 608.76

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Solution

The fourth proportional to 644.40, 964.98 and 608.76 is: 911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.40 : 964.98 = 608.76 : x
  2. Step 2: Convert to fraction form
    644.40/964.98 = 608.76/x
  3. Step 3: Cross multiply
    644.40x = 964.98 × 608.76
  4. Step 4: Simplify right side
    644.40x = 587,441.22
  5. Step 5: Solve for x
    x = 587,441.22/644.40
  6. Step 6: Final answer
    x = 911.61

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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.