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Finding the Fourth Proportional to 718.01, 1,076.92 and 255.80

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Solution

The fourth proportional to 718.01, 1,076.92 and 255.80 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.01 : 1,076.92 = 255.80 : x
  2. Step 2: Convert to fraction form
    718.01/1,076.92 = 255.80/x
  3. Step 3: Cross multiply
    718.01x = 1,076.92 × 255.80
  4. Step 4: Simplify right side
    718.01x = 275,476.14
  5. Step 5: Solve for x
    x = 275,476.14/718.01
  6. Step 6: Final answer
    x = 383.67

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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.