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Finding the Fourth Proportional to 716.20, 1,074.24 and 511.72

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Solution

The fourth proportional to 716.20, 1,074.24 and 511.72 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.20 : 1,074.24 = 511.72 : x
  2. Step 2: Convert to fraction form
    716.20/1,074.24 = 511.72/x
  3. Step 3: Cross multiply
    716.20x = 1,074.24 × 511.72
  4. Step 4: Simplify right side
    716.20x = 549,710.09
  5. Step 5: Solve for x
    x = 549,710.09/716.20
  6. Step 6: Final answer
    x = 767.54

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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.