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Finding the Fourth Proportional to 716.65, 1,073.45 and 408.34

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Solution

The fourth proportional to 716.65, 1,073.45 and 408.34 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.65 : 1,073.45 = 408.34 : x
  2. Step 2: Convert to fraction form
    716.65/1,073.45 = 408.34/x
  3. Step 3: Cross multiply
    716.65x = 1,073.45 × 408.34
  4. Step 4: Simplify right side
    716.65x = 438,334.94
  5. Step 5: Solve for x
    x = 438,334.94/716.65
  6. Step 6: Final answer
    x = 611.65

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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.