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Finding the Fourth Proportional to 716.75, 1,074.57 and 442.29

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Solution

The fourth proportional to 716.75, 1,074.57 and 442.29 is: 663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.75 : 1,074.57 = 442.29 : x
  2. Step 2: Convert to fraction form
    716.75/1,074.57 = 442.29/x
  3. Step 3: Cross multiply
    716.75x = 1,074.57 × 442.29
  4. Step 4: Simplify right side
    716.75x = 475,273.94
  5. Step 5: Solve for x
    x = 475,273.94/716.75
  6. Step 6: Final answer
    x = 663.10

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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.