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Finding the Fourth Proportional to 709.14, 1,064.10 and 298.46

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Solution

The fourth proportional to 709.14, 1,064.10 and 298.46 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.14 : 1,064.10 = 298.46 : x
  2. Step 2: Convert to fraction form
    709.14/1,064.10 = 298.46/x
  3. Step 3: Cross multiply
    709.14x = 1,064.10 × 298.46
  4. Step 4: Simplify right side
    709.14x = 317,591.29
  5. Step 5: Solve for x
    x = 317,591.29/709.14
  6. Step 6: Final answer
    x = 447.85

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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.