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Finding the Fourth Proportional to 716.61, 1,074.33 and 351.21

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Solution

The fourth proportional to 716.61, 1,074.33 and 351.21 is: 526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.61 : 1,074.33 = 351.21 : x
  2. Step 2: Convert to fraction form
    716.61/1,074.33 = 351.21/x
  3. Step 3: Cross multiply
    716.61x = 1,074.33 × 351.21
  4. Step 4: Simplify right side
    716.61x = 377,315.44
  5. Step 5: Solve for x
    x = 377,315.44/716.61
  6. Step 6: Final answer
    x = 526.53

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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.