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Finding the Fourth Proportional to 717.32, 1,074.57 and 408.23

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Solution

The fourth proportional to 717.32, 1,074.57 and 408.23 is: 611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.32 : 1,074.57 = 408.23 : x
  2. Step 2: Convert to fraction form
    717.32/1,074.57 = 408.23/x
  3. Step 3: Cross multiply
    717.32x = 1,074.57 × 408.23
  4. Step 4: Simplify right side
    717.32x = 438,666.34
  5. Step 5: Solve for x
    x = 438,666.34/717.32
  6. Step 6: Final answer
    x = 611.54

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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.