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Finding the Fourth Proportional to 647.65, 965.23 and 646.62

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Solution

The fourth proportional to 647.65, 965.23 and 646.62 is: 963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.65 : 965.23 = 646.62 : x
  2. Step 2: Convert to fraction form
    647.65/965.23 = 646.62/x
  3. Step 3: Cross multiply
    647.65x = 965.23 × 646.62
  4. Step 4: Simplify right side
    647.65x = 624,137.22
  5. Step 5: Solve for x
    x = 624,137.22/647.65
  6. Step 6: Final answer
    x = 963.69

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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.