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Finding the Fourth Proportional to 646.97, 968.68 and 452.17

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Solution

The fourth proportional to 646.97, 968.68 and 452.17 is: 677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.97 : 968.68 = 452.17 : x
  2. Step 2: Convert to fraction form
    646.97/968.68 = 452.17/x
  3. Step 3: Cross multiply
    646.97x = 968.68 × 452.17
  4. Step 4: Simplify right side
    646.97x = 438,008.04
  5. Step 5: Solve for x
    x = 438,008.04/646.97
  6. Step 6: Final answer
    x = 677.01

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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.