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Finding the Fourth Proportional to 716.46, 1,074.69 and 277.53

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Solution

The fourth proportional to 716.46, 1,074.69 and 277.53 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.46 : 1,074.69 = 277.53 : x
  2. Step 2: Convert to fraction form
    716.46/1,074.69 = 277.53/x
  3. Step 3: Cross multiply
    716.46x = 1,074.69 × 277.53
  4. Step 4: Simplify right side
    716.46x = 298,258.72
  5. Step 5: Solve for x
    x = 298,258.72/716.46
  6. Step 6: Final answer
    x = 416.30

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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.