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Finding the Fourth Proportional to 717.26, 989.14 and 468.48

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Solution

The fourth proportional to 717.26, 989.14 and 468.48 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.26 : 989.14 = 468.48 : x
  2. Step 2: Convert to fraction form
    717.26/989.14 = 468.48/x
  3. Step 3: Cross multiply
    717.26x = 989.14 × 468.48
  4. Step 4: Simplify right side
    717.26x = 463,392.31
  5. Step 5: Solve for x
    x = 463,392.31/717.26
  6. Step 6: Final answer
    x = 646.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.