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Finding the Fourth Proportional to 716.14, 1,074.82 and 511.21

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Solution

The fourth proportional to 716.14, 1,074.82 and 511.21 is: 767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.14 : 1,074.82 = 511.21 : x
  2. Step 2: Convert to fraction form
    716.14/1,074.82 = 511.21/x
  3. Step 3: Cross multiply
    716.14x = 1,074.82 × 511.21
  4. Step 4: Simplify right side
    716.14x = 549,458.73
  5. Step 5: Solve for x
    x = 549,458.73/716.14
  6. Step 6: Final answer
    x = 767.25

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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.