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Finding the Fourth Proportional to 643.92, 966.17 and 589.23

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Solution

The fourth proportional to 643.92, 966.17 and 589.23 is: 884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 966.17 = 589.23 : x
  2. Step 2: Convert to fraction form
    643.92/966.17 = 589.23/x
  3. Step 3: Cross multiply
    643.92x = 966.17 × 589.23
  4. Step 4: Simplify right side
    643.92x = 569,296.35
  5. Step 5: Solve for x
    x = 569,296.35/643.92
  6. Step 6: Final answer
    x = 884.11

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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.