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Finding the Fourth Proportional to 709.40, 1,064.18 and 276.50

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Solution

The fourth proportional to 709.40, 1,064.18 and 276.50 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,064.18 = 276.50 : x
  2. Step 2: Convert to fraction form
    709.40/1,064.18 = 276.50/x
  3. Step 3: Cross multiply
    709.40x = 1,064.18 × 276.50
  4. Step 4: Simplify right side
    709.40x = 294,241.14
  5. Step 5: Solve for x
    x = 294,241.14/709.40
  6. Step 6: Final answer
    x = 414.78

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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.