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Finding the Fourth Proportional to 709.82, 1,065.03 and 277.28

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Solution

The fourth proportional to 709.82, 1,065.03 and 277.28 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 1,065.03 = 277.28 : x
  2. Step 2: Convert to fraction form
    709.82/1,065.03 = 277.28/x
  3. Step 3: Cross multiply
    709.82x = 1,065.03 × 277.28
  4. Step 4: Simplify right side
    709.82x = 295,311.52
  5. Step 5: Solve for x
    x = 295,311.52/709.82
  6. Step 6: Final answer
    x = 416.04

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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.