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Finding the Fourth Proportional to 716.78, 1,074.90 and 306.11

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Solution

The fourth proportional to 716.78, 1,074.90 and 306.11 is: 459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.78 : 1,074.90 = 306.11 : x
  2. Step 2: Convert to fraction form
    716.78/1,074.90 = 306.11/x
  3. Step 3: Cross multiply
    716.78x = 1,074.90 × 306.11
  4. Step 4: Simplify right side
    716.78x = 329,037.64
  5. Step 5: Solve for x
    x = 329,037.64/716.78
  6. Step 6: Final answer
    x = 459.05

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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.