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Finding the Fourth Proportional to 716.08, 1,074.24 and 562

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Solution

The fourth proportional to 716.08, 1,074.24 and 562 is: 843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.08 : 1,074.24 = 562 : x
  2. Step 2: Convert to fraction form
    716.08/1,074.24 = 562/x
  3. Step 3: Cross multiply
    716.08x = 1,074.24 × 562
  4. Step 4: Simplify right side
    716.08x = 603,722.88
  5. Step 5: Solve for x
    x = 603,722.88/716.08
  6. Step 6: Final answer
    x = 843.09

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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.