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Finding the Fourth Proportional to 709.61, 1,064.17 and 298.67

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Solution

The fourth proportional to 709.61, 1,064.17 and 298.67 is: 447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.61 : 1,064.17 = 298.67 : x
  2. Step 2: Convert to fraction form
    709.61/1,064.17 = 298.67/x
  3. Step 3: Cross multiply
    709.61x = 1,064.17 × 298.67
  4. Step 4: Simplify right side
    709.61x = 317,835.65
  5. Step 5: Solve for x
    x = 317,835.65/709.61
  6. Step 6: Final answer
    x = 447.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.