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Finding the Fourth Proportional to 647.34, 966.62 and 629.83

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Solution

The fourth proportional to 647.34, 966.62 and 629.83 is: 940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.34 : 966.62 = 629.83 : x
  2. Step 2: Convert to fraction form
    647.34/966.62 = 629.83/x
  3. Step 3: Cross multiply
    647.34x = 966.62 × 629.83
  4. Step 4: Simplify right side
    647.34x = 608,806.27
  5. Step 5: Solve for x
    x = 608,806.27/647.34
  6. Step 6: Final answer
    x = 940.47

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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.