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Finding the Fourth Proportional to 709.49, 1,064.00 and 276.62

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Solution

The fourth proportional to 709.49, 1,064.00 and 276.62 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 1,064.00 = 276.62 : x
  2. Step 2: Convert to fraction form
    709.49/1,064.00 = 276.62/x
  3. Step 3: Cross multiply
    709.49x = 1,064.00 × 276.62
  4. Step 4: Simplify right side
    709.49x = 294,319.05
  5. Step 5: Solve for x
    x = 294,319.05/709.49
  6. Step 6: Final answer
    x = 414.83

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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.