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Finding the Fourth Proportional to 644.21, 964.01 and 557.84

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Solution

The fourth proportional to 644.21, 964.01 and 557.84 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.21 : 964.01 = 557.84 : x
  2. Step 2: Convert to fraction form
    644.21/964.01 = 557.84/x
  3. Step 3: Cross multiply
    644.21x = 964.01 × 557.84
  4. Step 4: Simplify right side
    644.21x = 537,762.96
  5. Step 5: Solve for x
    x = 537,762.96/644.21
  6. Step 6: Final answer
    x = 834.76

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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.