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Finding the Fourth Proportional to 643.68, 960.66 and 617.22

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Solution

The fourth proportional to 643.68, 960.66 and 617.22 is: 921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 960.66 = 617.22 : x
  2. Step 2: Convert to fraction form
    643.68/960.66 = 617.22/x
  3. Step 3: Cross multiply
    643.68x = 960.66 × 617.22
  4. Step 4: Simplify right side
    643.68x = 592,938.57
  5. Step 5: Solve for x
    x = 592,938.57/643.68
  6. Step 6: Final answer
    x = 921.17

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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.