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Finding the Fourth Proportional to 1,276, 1,760.85 and 716.49

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Solution

The fourth proportional to 1,276, 1,760.85 and 716.49 is: 988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276 : 1,760.85 = 716.49 : x
  2. Step 2: Convert to fraction form
    1,276/1,760.85 = 716.49/x
  3. Step 3: Cross multiply
    1,276x = 1,760.85 × 716.49
  4. Step 4: Simplify right side
    1,276x = 1,261,631.42
  5. Step 5: Solve for x
    x = 1,261,631.42/1,276
  6. Step 6: Final answer
    x = 988.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.