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Finding the Fourth Proportional to 717.75, 989.96 and 497.07

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Solution

The fourth proportional to 717.75, 989.96 and 497.07 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.75 : 989.96 = 497.07 : x
  2. Step 2: Convert to fraction form
    717.75/989.96 = 497.07/x
  3. Step 3: Cross multiply
    717.75x = 989.96 × 497.07
  4. Step 4: Simplify right side
    717.75x = 492,076.93
  5. Step 5: Solve for x
    x = 492,076.93/717.75
  6. Step 6: Final answer
    x = 685.58

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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.