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Finding the Fourth Proportional to 716.67, 1,074.78 and 277.83

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Solution

The fourth proportional to 716.67, 1,074.78 and 277.83 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.67 : 1,074.78 = 277.83 : x
  2. Step 2: Convert to fraction form
    716.67/1,074.78 = 277.83/x
  3. Step 3: Cross multiply
    716.67x = 1,074.78 × 277.83
  4. Step 4: Simplify right side
    716.67x = 298,606.13
  5. Step 5: Solve for x
    x = 298,606.13/716.67
  6. Step 6: Final answer
    x = 416.66

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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.