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Finding the Fourth Proportional to 648.28, 966.17 and 647.26

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Solution

The fourth proportional to 648.28, 966.17 and 647.26 is: 964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.28 : 966.17 = 647.26 : x
  2. Step 2: Convert to fraction form
    648.28/966.17 = 647.26/x
  3. Step 3: Cross multiply
    648.28x = 966.17 × 647.26
  4. Step 4: Simplify right side
    648.28x = 625,362.40
  5. Step 5: Solve for x
    x = 625,362.40/648.28
  6. Step 6: Final answer
    x = 964.65

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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.