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Finding the Fourth Proportional to 709.08, 1,064.14 and 276.24

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Solution

The fourth proportional to 709.08, 1,064.14 and 276.24 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 1,064.14 = 276.24 : x
  2. Step 2: Convert to fraction form
    709.08/1,064.14 = 276.24/x
  3. Step 3: Cross multiply
    709.08x = 1,064.14 × 276.24
  4. Step 4: Simplify right side
    709.08x = 293,958.03
  5. Step 5: Solve for x
    x = 293,958.03/709.08
  6. Step 6: Final answer
    x = 414.56

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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.