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Finding the Fourth Proportional to 709.56, 1,064.07 and 298.71

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Solution

The fourth proportional to 709.56, 1,064.07 and 298.71 is: 447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 1,064.07 = 298.71 : x
  2. Step 2: Convert to fraction form
    709.56/1,064.07 = 298.71/x
  3. Step 3: Cross multiply
    709.56x = 1,064.07 × 298.71
  4. Step 4: Simplify right side
    709.56x = 317,848.35
  5. Step 5: Solve for x
    x = 317,848.35/709.56
  6. Step 6: Final answer
    x = 447.95

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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.