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Finding the Fourth Proportional to 644.14, 964.45 and 602.02

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Solution

The fourth proportional to 644.14, 964.45 and 602.02 is: 901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.14 : 964.45 = 602.02 : x
  2. Step 2: Convert to fraction form
    644.14/964.45 = 602.02/x
  3. Step 3: Cross multiply
    644.14x = 964.45 × 602.02
  4. Step 4: Simplify right side
    644.14x = 580,618.19
  5. Step 5: Solve for x
    x = 580,618.19/644.14
  6. Step 6: Final answer
    x = 901.39

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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.