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Finding the Fourth Proportional to 717.53, 1,076.06 and 230.47

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Solution

The fourth proportional to 717.53, 1,076.06 and 230.47 is: 345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.53 : 1,076.06 = 230.47 : x
  2. Step 2: Convert to fraction form
    717.53/1,076.06 = 230.47/x
  3. Step 3: Cross multiply
    717.53x = 1,076.06 × 230.47
  4. Step 4: Simplify right side
    717.53x = 247,993.02
  5. Step 5: Solve for x
    x = 247,993.02/717.53
  6. Step 6: Final answer
    x = 345.62

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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.