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Finding the Fourth Proportional to 717.34, 989.13 and 468.34

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Solution

The fourth proportional to 717.34, 989.13 and 468.34 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.34 : 989.13 = 468.34 : x
  2. Step 2: Convert to fraction form
    717.34/989.13 = 468.34/x
  3. Step 3: Cross multiply
    717.34x = 989.13 × 468.34
  4. Step 4: Simplify right side
    717.34x = 463,249.14
  5. Step 5: Solve for x
    x = 463,249.14/717.34
  6. Step 6: Final answer
    x = 645.79

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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.